40376881764 has 36 divisors (see below), whose sum is σ = 108067538124. Its totient is φ = 12667256832.

The previous prime is 40376881763. The next prime is 40376881789. The reversal of 40376881764 is 46718867304.

40376881764 is a `hidden beast` number, since 403 + 7 + 68 + 8 + 176 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11355033600 + 29021848164 = 106560^2 + 170358^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×40376881764³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40376881764.

It is not an unprimeable number, because it can be changed into a prime (40376881763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32987037 + ... + 32988260.

It is an arithmetic number, because the mean of its divisors is an integer number (3001876059).

Almost surely, 2^40376881764 is an apocalyptic number.

It is an amenable number.

40376881764 is an abundant number, since it is smaller than the sum of its proper divisors (67690656360).

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

40376881764 is a wasteful number, since it uses less digits than its factorization.

40376881764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65975324 (or 65975319 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 40376881764 in words is "forty billion, three hundred seventy-six million, eight hundred eighty-one thousand, seven hundred sixty-four".