31375055485440 has 720 divisors, whose sum is σ = 114848772286248. Its totient is φ = 7914712006656.

The previous prime is 31375055485331. The next prime is 31375055485453. The reversal of 31375055485440 is 4458455057313.

It is a happy number.

31375055485440 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 5 + 0 + 5 + 548 + 54 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19994634199296 + 11380421286144 = 4471536^2 + 3373488^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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, 6628997314 + ... + 6629002046.

Almost surely, 2^{31375055485440} is an apocalyptic number.

31375055485440 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 31375055485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57424386143124).

31375055485440 is an abundant number, since it is smaller than the sum of its proper divisors (83473716800808).

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

31375055485440 is a wasteful number, since it uses less digits than its factorization.

31375055485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 31375055485440 in words is "thirty-one trillion, three hundred seventy-five billion, fifty-five million, four hundred eighty-five thousand, four hundred forty".