40107271824 has 75 divisors (see below), whose sum is σ = 116102951283. Its totient is φ = 13366687392.

The previous prime is 40107271819. The next prime is 40107271861. The reversal of 40107271824 is 42817270104.

The square root of 40107271824 is 200268.

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

40107271824 is a `hidden beast` number, since 401 + 0 + 72 + 7 + 182 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7206867 + ... + 7212429.

Almost surely, 2^40107271824 is an apocalyptic number.

40107271824 is the 200268-th square number.

It is an amenable number.

40107271824 is an abundant number, since it is smaller than the sum of its proper divisors (75995679459).

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

40107271824 is an frugal number, since it uses more digits than its factorization.

40107271824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11146 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Multiplying 40107271824 by its sum of digits (36), we get a square (1443861785664 = 1201608²).

40107271824 divided by its sum of digits (36) gives a square (1114090884 = 33378²).

The spelling of 40107271824 in words is "forty billion, one hundred seven million, two hundred seventy-one thousand, eight hundred twenty-four".