31272014400 has 504 divisors, whose sum is σ = 117726756672. Its totient is φ = 7248384000.

The previous prime is 31272014363. The next prime is 31272014479. The reversal of 31272014400 is 441027213.

It is a happy number.

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

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, 13357230 + ... + 13359570.

Almost surely, 2^31272014400 is an apocalyptic number.

31272014400 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 31272014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58863378336).

31272014400 is an abundant number, since it is smaller than the sum of its proper divisors (86454742272).

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

31272014400 is a wasteful number, since it uses less digits than its factorization.

31272014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 31272014400 in words is "thirty-one billion, two hundred seventy-two million, fourteen thousand, four hundred".