31357235140440 has 384 divisors, whose sum is σ = 106995022848000. Its totient is φ = 7337680430080.

The previous prime is 31357235140423. The next prime is 31357235140453. The reversal of 31357235140440 is 4404153275313.

It is a junction number, because it is equal to n+sod(n) for n = 31357235140392 and 31357235140401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2142026641 + ... + 2142041279.

It is an arithmetic number, because the mean of its divisors is an integer number (278632872000).

Almost surely, 2^{31357235140440} is an apocalyptic number.

31357235140440 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 31357235140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53497511424000).

31357235140440 is an abundant number, since it is smaller than the sum of its proper divisors (75637787707560).

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

31357235140440 is a wasteful number, since it uses less digits than its factorization.

31357235140440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19791 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 31357235140440 in words is "thirty-one trillion, three hundred fifty-seven billion, two hundred thirty-five million, one hundred forty thousand, four hundred forty".