31390612836480 has 1280 divisors, whose sum is σ = 127854368040960. Its totient is φ = 7292648816640.

The previous prime is 31390612836431. The next prime is 31390612836481. The reversal of 31390612836480 is 8463821609313.

31390612836480 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 0 + 6 + 128 + 36 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31390612836481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 628327662 + ... + 628377618.

It is an arithmetic number, because the mean of its divisors is an integer number (99886225032).

Almost surely, 2^{31390612836480} is an apocalyptic number.

31390612836480 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 31390612836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63927184020480).

31390612836480 is an abundant number, since it is smaller than the sum of its proper divisors (96463755204480).

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

31390612836480 is a wasteful number, since it uses less digits than its factorization.

31390612836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50059 (or 50038 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 31390612836480 in words is "thirty-one trillion, three hundred ninety billion, six hundred twelve million, eight hundred thirty-six thousand, four hundred eighty".