That looks like a M44SS4.
You can plug in your serial number and find out for sure here:
http://www.taurususa.com/find-model.cfm
I have a M44SS6 and it is a very good, very accurate pistol.
The usual suspects will be along to tell you how badly your pistol sucks because it is a Taurus.
Shoot it. If you like it, you'll learn to ignore them, too.