416414350013112 has 48 divisors (see below), whose sum is σ = 1230315125041080. Its totient is φ = 126186166670400.

The previous prime is 416414350013071. The next prime is 416414350013159. The reversal of 416414350013112 is 211310053414614.

416414350013112 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 1 + 4 + 3 + 500 + 131 + 12 = 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 11 ways as a sum of consecutive naturals, for example, 262887846439 + ... + 262887848022.

Almost surely, 2^{416414350013112} is an apocalyptic number.

It is an amenable number.

416414350013112 is an abundant number, since it is smaller than the sum of its proper divisors (813900775027968).

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

416414350013112 is a wasteful number, since it uses less digits than its factorization.

416414350013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525775694484 (or 525775694477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 416414350013112 in words is "four hundred sixteen trillion, four hundred fourteen billion, three hundred fifty million, thirteen thousand, one hundred twelve".