416436297045912 has 512 divisors, whose sum is σ = 1406102640768000. Its totient is φ = 112449649213440.

The previous prime is 416436297045833. The next prime is 416436297045961. The reversal of 416436297045912 is 219540792634614.

416436297045912 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 36 + 2 + 9 + 7 + 0 + 4 + 591 + 2 = 666.

It is a super-2 number, since 2×416436297045912² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 416436297045912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5676343743 + ... + 5676417105.

It is an arithmetic number, because the mean of its divisors is an integer number (2746294220250).

Almost surely, 2^{416436297045912} 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 416436297045912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703051320384000).

416436297045912 is an abundant number, since it is smaller than the sum of its proper divisors (989666343722088).

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

416436297045912 is a wasteful number, since it uses less digits than its factorization.

416436297045912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79768 (or 79758 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 416436297045912 in words is "four hundred sixteen trillion, four hundred thirty-six billion, two hundred ninety-seven million, forty-five thousand, nine hundred twelve".