31412681645400 has 144 divisors (see below), whose sum is σ = 115084642827960. Its totient is φ = 7615195545600.

The previous prime is 31412681645399. The next prime is 31412681645479. The reversal of 31412681645400 is 454618621413.

31412681645400 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 26 + 81 + 6 + 4 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 793229737 + ... + 793269336.

Almost surely, 2^{31412681645400} is an apocalyptic number.

31412681645400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31412681645400 is an abundant number, since it is smaller than the sum of its proper divisors (83671961182560).

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

31412681645400 is a wasteful number, since it uses less digits than its factorization.

31412681645400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586499106 (or 1586499094 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 31412681645400 in words is "thirty-one trillion, four hundred twelve billion, six hundred eighty-one million, six hundred forty-five thousand, four hundred".