41081006650768 has 240 divisors, whose sum is σ = 96360882508800. Its totient is φ = 16898668416000.

The previous prime is 41081006650759. The next prime is 41081006650793. The reversal of 41081006650768 is 86705660018014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2538520405 + ... + 2538536587.

It is an arithmetic number, because the mean of its divisors is an integer number (401503677120).

Almost surely, 2^{41081006650768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41081006650768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48180441254400).

41081006650768 is an abundant number, since it is smaller than the sum of its proper divisors (55279875858032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41081006650768 is a wasteful number, since it uses less digits than its factorization.

41081006650768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17086 (or 17073 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 41081006650768 in words is "forty-one trillion, eighty-one billion, six million, six hundred fifty thousand, seven hundred sixty-eight".