312131324341440 has 168 divisors, whose sum is σ = 1120280036080608. Its totient is φ = 79616105902080.

The previous prime is 312131324341411. The next prime is 312131324341489. The reversal of 312131324341440 is 44143423131213.

312131324341440 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 132 + 43 + 41 + 440 = 666.

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 = 312131324341395 and 312131324341404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2355997501 + ... + 2356129980.

Almost surely, 2^{312131324341440} is an apocalyptic number.

312131324341440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312131324341440 is an abundant number, since it is smaller than the sum of its proper divisors (808148711739168).

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

312131324341440 is a wasteful number, since it uses less digits than its factorization.

312131324341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712127527 (or 4712127514 counting only the distinct ones).

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

Adding to 312131324341440 its reverse (44143423131213), we get a palindrome (356274747472653).

The spelling of 312131324341440 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred twenty-four million, three hundred forty-one thousand, four hundred forty".