31012715139840 has 432 divisors, whose sum is σ = 123511715308800. Its totient is φ = 7037620789248.

The previous prime is 31012715139827. The next prime is 31012715139971. The reversal of 31012715139840 is 4893151721013.

31012715139840 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 2 + 7 + 1 + 513 + 98 + 40 = 666.

It is a super-2 number, since 2×31012715139840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9825571 + ... + 12592349.

It is an arithmetic number, because the mean of its divisors is an integer number (285906748400).

Almost surely, 2^{31012715139840} is an apocalyptic number.

31012715139840 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 31012715139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61755857654400).

31012715139840 is an abundant number, since it is smaller than the sum of its proper divisors (92499000168960).

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

31012715139840 is a wasteful number, since it uses less digits than its factorization.

31012715139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766952 (or 2766935 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 31012715139840 in words is "thirty-one trillion, twelve billion, seven hundred fifteen million, one hundred thirty-nine thousand, eight hundred forty".