31295439505040 has 80 divisors (see below), whose sum is σ = 73413805398768. Its totient is φ = 12406043639808.

The previous prime is 31295439505039. The next prime is 31295439505091. The reversal of 31295439505040 is 4050593459213.

It can be written as a sum of positive squares in 8 ways, for example, as 622628308624 + 30672811196416 = 789068^2 + 5538304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 31295439505040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84909632 + ... + 85277408.

Almost surely, 2^{31295439505040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31295439505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36706902699384).

31295439505040 is an abundant number, since it is smaller than the sum of its proper divisors (42118365893728).

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

31295439505040 is a wasteful number, since it uses less digits than its factorization.

31295439505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377316 (or 377310 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 50.

The spelling of 31295439505040 in words is "thirty-one trillion, two hundred ninety-five billion, four hundred thirty-nine million, five hundred five thousand, forty".