31136938291440 has 640 divisors, whose sum is σ = 112377607372800. Its totient is φ = 7914461184000.

The previous prime is 31136938291373. The next prime is 31136938291453. The reversal of 31136938291440 is 4419283963113.

31136938291440 is a `hidden beast` number, since 3 + 1 + 1 + 36 + 9 + 3 + 82 + 91 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6128109700 + ... + 6128114780.

It is an arithmetic number, because the mean of its divisors is an integer number (175590011520).

Almost surely, 2^{31136938291440} is an apocalyptic number.

31136938291440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31136938291440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56188803686400).

31136938291440 is an abundant number, since it is smaller than the sum of its proper divisors (81240669081360).

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

31136938291440 is a wasteful number, since it uses less digits than its factorization.

31136938291440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494 (or 6482 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 31136938291440 in words is "thirty-one trillion, one hundred thirty-six billion, nine hundred thirty-eight million, two hundred ninety-one thousand, four hundred forty".