31427249128704 has 1296 divisors, whose sum is σ = 116853605406720. Its totient is φ = 8327580917760.

The previous prime is 31427249128703. The next prime is 31427249128801. The reversal of 31427249128704 is 40782194272413.

31427249128704 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 72 + 491 + 2 + 87 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31427249128703) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2197241617 + ... + 2197255919.

Almost surely, 2^{31427249128704} 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 31427249128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58426802703360).

31427249128704 is an abundant number, since it is smaller than the sum of its proper divisors (85426356278016).

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

31427249128704 is a wasteful number, since it uses less digits than its factorization.

31427249128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14390 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 31427249128704 in words is "thirty-one trillion, four hundred twenty-seven billion, two hundred forty-nine million, one hundred twenty-eight thousand, seven hundred four".