40131900 has 216 divisors, whose sum is σ = 138522384. Its totient is φ = 9676800.

The previous prime is 40131893. The next prime is 40131913. The reversal of 40131900 is 913104.

40131900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40131900² = 3221138795220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 657870 + ... + 657930.

Almost surely, 2^40131900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69261192).

40131900 is an abundant number, since it is smaller than the sum of its proper divisors (98390484).

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

40131900 is a wasteful number, since it uses less digits than its factorization.

40131900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 40131900 is about 6334.9743488036. The cubic root of 40131900 is about 342.3706866155.

Subtracting from 40131900 its reverse (913104), we obtain a triangular number (39218796 = T₈₈₅₆).

The spelling of 40131900 in words is "forty million, one hundred thirty-one thousand, nine hundred".