31312882440 has 384 divisors, whose sum is σ = 122376683520. Its totient is φ = 6793113600.

The previous prime is 31312882357. The next prime is 31312882441. The reversal of 31312882440 is 4428821313.

It is a happy number.

31312882440 is a `hidden beast` number, since 3 + 13 + 128 + 82 + 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 = 31312882395 and 31312882404.

It is not an unprimeable number, because it can be changed into a prime (31312882441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3818745 + ... + 3826935.

It is an arithmetic number, because the mean of its divisors is an integer number (318689280).

Almost surely, 2^31312882440 is an apocalyptic number.

31312882440 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 31312882440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61188341760).

31312882440 is an abundant number, since it is smaller than the sum of its proper divisors (91063801080).

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

31312882440 is a wasteful number, since it uses less digits than its factorization.

31312882440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 31312882440 in words is "thirty-one billion, three hundred twelve million, eight hundred eighty-two thousand, four hundred forty".