31445400801600 has 1008 divisors, whose sum is σ = 118466408736000. Its totient is φ = 7895119626240.

The previous prime is 31445400801547. The next prime is 31445400801613. The reversal of 31445400801600 is 610800454413.

31445400801600 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 5 + 40 + 0 + 8 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5576411581 + ... + 5576417219.

Almost surely, 2^{31445400801600} is an apocalyptic number.

31445400801600 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 31445400801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59233204368000).

31445400801600 is an abundant number, since it is smaller than the sum of its proper divisors (87021007934400).

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

31445400801600 is a wasteful number, since it uses less digits than its factorization.

31445400801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 31445400801600 in words is "thirty-one trillion, four hundred forty-five billion, four hundred million, eight hundred one thousand, six hundred".