31047191409408 has 288 divisors, whose sum is σ = 88929770130432. Its totient is φ = 9580806144000.

The previous prime is 31047191409361. The next prime is 31047191409413. The reversal of 31047191409408 is 80490419174013.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 401341933 + ... + 401419283.

It is an arithmetic number, because the mean of its divisors is an integer number (308783924064).

Almost surely, 2^{31047191409408} 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 31047191409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44464885065216).

31047191409408 is an abundant number, since it is smaller than the sum of its proper divisors (57882578721024).

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

31047191409408 is a wasteful number, since it uses less digits than its factorization.

31047191409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77891 (or 77877 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 31047191409408 in words is "thirty-one trillion, forty-seven billion, one hundred ninety-one million, four hundred nine thousand, four hundred eight".