40637721744 has 135 divisors (see below), whose sum is σ = 115537883097. Its totient is φ = 13333836672.

The previous prime is 40637721737. The next prime is 40637721799. The reversal of 40637721744 is 44712773604.

The square root of 40637721744 is 201588.

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

40637721744 is a `hidden beast` number, since 4 + 0 + 637 + 7 + 2 + 1 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11911539600 + 28726182144 = 109140^2 + 169488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40637721744.

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, 258838914 + ... + 258839070.

Almost surely, 2^40637721744 is an apocalyptic number.

40637721744 is the 201588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40637721744

40637721744 is an abundant number, since it is smaller than the sum of its proper divisors (74900161353).

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

40637721744 is a wasteful number, since it uses less digits than its factorization.

40637721744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 40637721744 in words is "forty billion, six hundred thirty-seven million, seven hundred twenty-one thousand, seven hundred forty-four".