31144987297440 has 432 divisors, whose sum is σ = 118768780946088. Its totient is φ = 7405369491456.

The previous prime is 31144987297363. The next prime is 31144987297471. The reversal of 31144987297440 is 4479278944113.

31144987297440 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 498 + 72 + 9 + 74 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30175290185616 + 969697111824 = 5493204^2 + 984732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7075144 + ... + 10599416.

Almost surely, 2^{31144987297440} is an apocalyptic number.

31144987297440 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 31144987297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59384390473044).

31144987297440 is an abundant number, since it is smaller than the sum of its proper divisors (87623793648648).

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

31144987297440 is a wasteful number, since it uses less digits than its factorization.

31144987297440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524349 (or 3524319 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 31144987297440 in words is "thirty-one trillion, one hundred forty-four billion, nine hundred eighty-seven million, two hundred ninety-seven thousand, four hundred forty".