40722432804 has 189 divisors, whose sum is σ = 110911351971. Its totient is φ = 13076510400.

The previous prime is 40722432799. The next prime is 40722432851. The reversal of 40722432804 is 40823422704.

The square root of 40722432804 is 201798.

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

40722432804 is a `hidden beast` number, since 407 + 2 + 243 + 2 + 8 + 0 + 4 = 666.

40722432804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30328222500 + 10394210304 = 174150^2 + 101952^2 .

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 62 ways as a sum of consecutive naturals, for example, 403192354 + ... + 403192454.

Almost surely, 2^40722432804 is an apocalyptic number.

40722432804 is the 201798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40722432804

40722432804 is an abundant number, since it is smaller than the sum of its proper divisors (70188919167).

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

40722432804 is an equidigital number, since it uses as much as digits as its factorization.

40722432804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Multiplying 40722432804 by its sum of digits (36), we get a square (1466007580944 = 1210788²).

40722432804 divided by its sum of digits (36) gives a square (1131178689 = 33633²).

The spelling of 40722432804 in words is "forty billion, seven hundred twenty-two million, four hundred thirty-two thousand, eight hundred four".