40076036100 has 81 divisors (see below), whose sum is σ = 125634936063. Its totient is φ = 10685341440.

The previous prime is 40076036071. The next prime is 40076036111. The reversal of 40076036100 is 163067004.

The square root of 40076036100 is 200190.

It is a perfect power (a square), and thus also a powerful number.

40076036100 is a `hidden beast` number, since 40 + 0 + 7 + 6 + 0 + 3 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18084332484 + 21991703616 = 134478^2 + 148296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6002364 + ... + 6009036.

Almost surely, 2^40076036100 is an apocalyptic number.

40076036100 is the 200190-th square number.

It is an amenable number.

40076036100 is an abundant number, since it is smaller than the sum of its proper divisors (85558899963).

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

40076036100 is an equidigital number, since it uses as much as digits as its factorization.

40076036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13366 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 40076036100 in words is "forty billion, seventy-six million, thirty-six thousand, one hundred".