416108099814912 has 960 divisors, whose sum is σ = 1402378809511680. Its totient is φ = 122396869656576.

The previous prime is 416108099814769. The next prime is 416108099814949. The reversal of 416108099814912 is 219418990801614.

416108099814912 is a `hidden beast` number, since 4 + 1 + 61 + 0 + 8 + 0 + 9 + 9 + 81 + 491 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 416108099814912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3898024323 + ... + 3898131069.

It is an arithmetic number, because the mean of its divisors is an integer number (1460811259908).

Almost surely, 2^{416108099814912} 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 416108099814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701189404755840).

416108099814912 is an abundant number, since it is smaller than the sum of its proper divisors (986270709696768).

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

416108099814912 is a wasteful number, since it uses less digits than its factorization.

416108099814912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106913 (or 106885 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 416108099814912 in words is "four hundred sixteen trillion, one hundred eight billion, ninety-nine million, eight hundred fourteen thousand, nine hundred twelve".