31117430400 has 576 divisors, whose sum is σ = 120814454880. Its totient is φ = 7018045440.

The previous prime is 31117430381. The next prime is 31117430401. The reversal of 31117430400 is 403471113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31117430401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 39042802 + ... + 39043598.

Almost surely, 2^31117430400 is an apocalyptic number.

31117430400 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 31117430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60407227440).

31117430400 is an abundant number, since it is smaller than the sum of its proper divisors (89697024480).

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

31117430400 is a wasteful number, since it uses less digits than its factorization.

31117430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 31117430400 in words is "thirty-one billion, one hundred seventeen million, four hundred thirty thousand, four hundred".