131404040210400 has 144 divisors (see below), whose sum is σ = 428836916680704. Its totient is φ = 34949586081280.

The previous prime is 131404040210389. The next prime is 131404040210447. The reversal of 131404040210400 is 4012040404131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70558194 + ... + 72396593.

It is an arithmetic number, because the mean of its divisors is an integer number (2978034143616).

Almost surely, 2^{131404040210400} is an apocalyptic number.

131404040210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404040210400 is an abundant number, since it is smaller than the sum of its proper divisors (297432876470304).

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

131404040210400 is a wasteful number, since it uses less digits than its factorization.

131404040210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142955193 (or 142955180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131404040210400 its reverse (4012040404131), we get a palindrome (135416080614531).

The spelling of 131404040210400 in words is "one hundred thirty-one trillion, four hundred four billion, forty million, two hundred ten thousand, four hundred".