40517365776 has 80 divisors (see below), whose sum is σ = 108545433600. Its totient is φ = 13008006144.

The previous prime is 40517365751. The next prime is 40517365799. The reversal of 40517365776 is 67756371504.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533745 + ... + 604911.

It is an arithmetic number, because the mean of its divisors is an integer number (1356817920).

Almost surely, 2^40517365776 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 40517365776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54272716800).

40517365776 is an abundant number, since it is smaller than the sum of its proper divisors (68028067824).

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

40517365776 is a wasteful number, since it uses less digits than its factorization.

40517365776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71616 (or 71610 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 40517365776 in words is "forty billion, five hundred seventeen million, three hundred sixty-five thousand, seven hundred seventy-six".