31319142400 has 312 divisors, whose sum is σ = 95612429024. Its totient is φ = 9909043200.

The previous prime is 31319142397. The next prime is 31319142469. The reversal of 31319142400 is 424191313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9316720 + ... + 9320080.

Almost surely, 2^31319142400 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 31319142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47806214512).

31319142400 is an abundant number, since it is smaller than the sum of its proper divisors (64293286624).

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

31319142400 is a wasteful number, since it uses less digits than its factorization.

31319142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 31319142400 in words is "thirty-one billion, three hundred nineteen million, one hundred forty-two thousand, four hundred".