40402637117568 has 768 divisors, whose sum is σ = 134615153387520. Its totient is φ = 11511177216000.

The previous prime is 40402637117501. The next prime is 40402637117627. The reversal of 40402637117568 is 86571173620404.

40402637117568 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 6 + 3 + 71 + 1 + 7 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7304758963 + ... + 7304764493.

It is an arithmetic number, because the mean of its divisors is an integer number (175280147640).

Almost surely, 2^{40402637117568} is an apocalyptic number.

40402637117568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40402637117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67307576693760).

40402637117568 is an abundant number, since it is smaller than the sum of its proper divisors (94212516269952).

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

40402637117568 is a wasteful number, since it uses less digits than its factorization.

40402637117568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 40402637117568 in words is "forty trillion, four hundred two billion, six hundred thirty-seven million, one hundred seventeen thousand, five hundred sixty-eight".