31040368128 has 640 divisors, whose sum is σ = 115979719680. Its totient is φ = 8028979200.

The previous prime is 31040368123. The next prime is 31040368141. The reversal of 31040368128 is 82186304013.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31040368092 and 31040368101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31040368123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128798088 + ... + 128798328.

It is an arithmetic number, because the mean of its divisors is an integer number (181218312).

Almost surely, 2^31040368128 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 31040368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57989859840).

31040368128 is an abundant number, since it is smaller than the sum of its proper divisors (84939351552).

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

31040368128 is an equidigital number, since it uses as much as digits as its factorization.

31040368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 31040368128 in words is "thirty-one billion, forty million, three hundred sixty-eight thousand, one hundred twenty-eight".