31490174400 has 504 divisors, whose sum is σ = 115559768880. Its totient is φ = 7480442880.

The previous prime is 31490174389. The next prime is 31490174413. The reversal of 31490174400 is 447109413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29457066 + ... + 29458134.

Almost surely, 2^31490174400 is an apocalyptic number.

31490174400 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 31490174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57779884440).

31490174400 is an abundant number, since it is smaller than the sum of its proper divisors (84069594480).

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

31490174400 is a wasteful number, since it uses less digits than its factorization.

31490174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 31490174400 in words is "thirty-one billion, four hundred ninety million, one hundred seventy-four thousand, four hundred".