40131432100 has 36 divisors (see below), whose sum is σ = 89438870164. Its totient is φ = 15618718080.

The previous prime is 40131432073. The next prime is 40131432119. The reversal of 40131432100 is 123413104.

It can be written as a sum of positive squares in 6 ways, for example, as 1202563684 + 38928868416 = 34678^2 + 197304^2 .

It is a super-2 number, since 2×40131432100² (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5419467 + ... + 5426866.

Almost surely, 2^40131432100 is an apocalyptic number.

It is an amenable number.

40131432100 is an abundant number, since it is smaller than the sum of its proper divisors (49307438064).

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

40131432100 is a wasteful number, since it uses less digits than its factorization.

40131432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10846384 (or 10846377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 40131432100 its reverse (123413104), we get a palindrome (40254845204).

The spelling of 40131432100 in words is "forty billion, one hundred thirty-one million, four hundred thirty-two thousand, one hundred".