1 of 4

268,435,455

If I have my fingers extended, each could reasonably touch any finger or (with some effort) combination of fingers on the other hand. Thus we have five fingers, each with (1+5+10+10+5+1) possible finger combinations they could be touching for a product of 32^5 values. Further, each hand could be either side up, and above or below the other - that's 8 more per option - 8*(32^5), which is 2^28 = 268,435,456 options. Some of these may be tricky to physically achieve, but they should all be possible. Pick your favorite ordering.