416384332416 has 192 divisors, whose sum is σ = 1358272188000. Its totient is φ = 121375107072.

The previous prime is 416384332411. The next prime is 416384332471. The reversal of 416384332416 is 614233483614.

416384332416 is a `hidden beast` number, since 4 + 1 + 638 + 4 + 3 + 3 + 2 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (416384332411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447126 + ... + 1016213.

Almost surely, 2^416384332416 is an apocalyptic number.

It is an amenable number.

416384332416 is an abundant number, since it is smaller than the sum of its proper divisors (941887855584).

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

416384332416 is a wasteful number, since it uses less digits than its factorization.

416384332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463391 (or 1463376 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 416384332416 in words is "four hundred sixteen billion, three hundred eighty-four million, three hundred thirty-two thousand, four hundred sixteen".