40557932100 has 405 divisors, whose sum is σ = 149395948247. Its totient is φ = 9202717440.

The previous prime is 40557932081. The next prime is 40557932101. The reversal of 40557932100 is 123975504.

The square root of 40557932100 is 201390.

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

40557932100 is a `hidden beast` number, since 4 + 0 + 557 + 93 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118330884 + 40439601216 = 10878^2 + 201096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40557932101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 296043232 + ... + 296043368.

Almost surely, 2^40557932100 is an apocalyptic number.

40557932100 is the 201390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40557932100

40557932100 is an abundant number, since it is smaller than the sum of its proper divisors (108838016147).

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

40557932100 is a wasteful number, since it uses less digits than its factorization.

40557932100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 40557932100 by its sum of digits (36), we get a square (1460085555600 = 1208340²).

40557932100 divided by its sum of digits (36) gives a square (1126609225 = 33565²).

The spelling of 40557932100 in words is "forty billion, five hundred fifty-seven million, nine hundred thirty-two thousand, one hundred".