31355345440 has 192 divisors, whose sum is σ = 77538384000. Its totient is φ = 11972911104.

The previous prime is 31355345347. The next prime is 31355345507. The reversal of 31355345440 is 4454355313.

It is a self number, because there is not a number n which added to its sum of digits gives 31355345440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74833551 + ... + 74833969.

It is an arithmetic number, because the mean of its divisors is an integer number (403845750).

Almost surely, 2^31355345440 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 31355345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38769192000).

31355345440 is an abundant number, since it is smaller than the sum of its proper divisors (46183038560).

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

31355345440 is a wasteful number, since it uses less digits than its factorization.

31355345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

The spelling of 31355345440 in words is "thirty-one billion, three hundred fifty-five million, three hundred forty-five thousand, four hundred forty".