Recording encrypted telephone number that is passed to my modem

I have a dial up account with a company called ntl and was very happy with it.  Now they have sent me a new dialler.  This dialler is rubbish and crashes causing me to reboot my machine.  The number within the dialler is encrypted so that I cannot find it (to copy the telephone number into a standard dialler).  I assume this number must be passed to my modem un-encrypted for the modem to use.  How can I find/record this number.  
I do not think there can be anything illeagal about finding out the number my own computer is dialling down my own phone line !
I either need a piece of software that logs all communication within the computer, or software that will covert the dial tones back a number.
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If the modem is an external, there are chances you can find software to watch the serial port and find out
what is being sent to the modem.

There are devices that can listen to the dial tones (DTMF) and un-code them. Such a device should connect to
the phone line.

If you have any possibility, do consider changing your ISP. The system you describe sounds just stupid.

perrybondAuthor Commented:
It's an internal modem.

Changing my ISP is my second option
Hmm. An internal modem can be a hardware modem, which means it includes the hardware of an additional serial port. If you can find suitable software, such a modem (the COM port, really) could be sniffed. A winmodem is no go. I can't find the link I was thinking about for the "listening" program, unfortunately.
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If there's a COM port (virtual or not), this tool should be able to dump it :
Also, I seem to recall that you can usually activate a debug log for a modem. Check the modem settings, somewhere in the advanced settings you'll be (hopefully) given the option to activate a full log to a file.
Try opening the modem's properties and click on the "more info" button and see if it has stored the last number dialed there. Some modems do, but not all, maybe you will get lucky.
perrybondAuthor Commented:
The modem dumps to a text file, but not the number dialed.
If it is dialing using "tone" then use a small tape recorder to tape it, then by using it to play back on a voice line, it may dial the same number, then use the redial to see what number it dialed.

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