Look at One World Distances

If the flight has a single flight nunber and continues on all you will see is the airport and the view landing and taking off. I doubt if any continuing flight number has more than a few hours at the intermediate airport
If you get off and get the next days flight you have added a stopeover / segement

In NA on the aa.com web site just put in yout city pairs and see what happens

You get nothing for nothing

[This message has been edited by Mwenenzi (edited 05-17-2003).]