131412332431440 has 60 divisors (see below), whose sum is σ = 441326416418004. Its totient is φ = 35043288648192.

The previous prime is 131412332431357. The next prime is 131412332431487. The reversal of 131412332431440 is 44134233214131.

131412332431440 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 2 + 332 + 4 + 314 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41317229911104 + 90095102520336 = 6427848^2 + 9491844^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×131412332431440² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131412332431395 and 131412332431404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91258563469 + ... + 91258564908.

Almost surely, 2^{131412332431440} is an apocalyptic number.

131412332431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412332431440 is an abundant number, since it is smaller than the sum of its proper divisors (309914083986564).

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

131412332431440 is a wasteful number, since it uses less digits than its factorization.

131412332431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182517128396 (or 182517128387 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131412332431440 its reverse (44134233214131), we get a palindrome (175546565645571).

The spelling of 131412332431440 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-two million, four hundred thirty-one thousand, four hundred forty".