(Have already heard what we Trackball acolytes have to say on the matter..)
Anyway, my Trackman, which refuses to STATE a 'Model #', says on label:
P/N804359-0000
-- is wireless w. similar lengthy batt. life (on NiMH too, whose capacity exceeds Primary cells; works n months even given the lower voltage at full charge, VS throw-aways.)
Trying wireless mouse with friend's new 21.5" iMac ... found it as uncopacetic as most, despite the clever 'gestures' activation.
T-ball was my first addition to my 20", in minute-5 of the discovery experience. After trying the Logitech Control Center and discovering it remains inept, was able to find appropriate Apple Setup options, including the scroll-wheel-cum-middle-click: as Widget toggle. Perfect for moi, as that is where iStat resides.
The friction-level of a clean ball is so slick, I can't think how this device could be improved ... except for those who simply do not like using the thumb (with it's built-in fine-accuracy of motion.)
fwiw/ymmv/pdq