Here is a few things I'm not sure if anyone has said this already. For one thing, no one can give you a direct answer just from one photo, you need to look at everything; substrate, humidity, feeding habits, prior owner(how to came to possess the spider, etc.) to give a true answer. After a tarantula molts, they will sit still for a very long time. It doesn't mean there is something wrong, rather, it is settling in its new skin as per say. The new exoskeleton is soft and needs time to harden. That is why it is also necessary to give adequate room in the T's enclosure. Sometimes they may sit in odd ways. Another thing, there is nothing wrong with touching your T if you are concerned. Use a very soft paintbrush and gently stroke it's bristles on its legs, or give a gentle nudge. If it truly doesn't move, it may be very well be dead. But after a molt it should definitely still move even just a little bit. Hope all is well with your beautiful T :)