40500377745864 has 64 divisors (see below), whose sum is σ = 102138104217600. Its totient is φ = 13382270438976.

The previous prime is 40500377745809. The next prime is 40500377745943. The reversal of 40500377745864 is 46854777300504.

40500377745864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40500377745798 and 40500377745807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12017184 + ... + 15013775.

It is an arithmetic number, because the mean of its divisors is an integer number (1595907878400).

Almost surely, 2^{40500377745864} is an apocalyptic number.

It is an amenable number.

40500377745864 is an abundant number, since it is smaller than the sum of its proper divisors (61637726471736).

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

40500377745864 is a wasteful number, since it uses less digits than its factorization.

40500377745864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27031514 (or 27031510 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 60.

The spelling of 40500377745864 in words is "forty trillion, five hundred billion, three hundred seventy-seven million, seven hundred forty-five thousand, eight hundred sixty-four".