31407418368 has 264 divisors, whose sum is σ = 95646320640. Its totient is φ = 9911623680.

The previous prime is 31407418363. The next prime is 31407418369. The reversal of 31407418368 is 86381470413.

31407418368 is a `hidden beast` number, since 3 + 1 + 407 + 4 + 183 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (31407418363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13426543 + ... + 13428881.

Almost surely, 2^31407418368 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 31407418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47823160320).

31407418368 is an abundant number, since it is smaller than the sum of its proper divisors (64238902272).

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

31407418368 is a wasteful number, since it uses less digits than its factorization.

31407418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 31407418368 in words is "thirty-one billion, four hundred seven million, four hundred eighteen thousand, three hundred sixty-eight".