416374566912 has 416 divisors, whose sum is σ = 1273793549760. Its totient is φ = 136017543168.

The previous prime is 416374566899. The next prime is 416374566947. The reversal of 416374566912 is 219665473614.

It is a happy number.

416374566912 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 74 + 566 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474771018 + ... + 474771894.

Almost surely, 2^416374566912 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 416374566912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636896774880).

416374566912 is an abundant number, since it is smaller than the sum of its proper divisors (857418982848).

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

416374566912 is an frugal number, since it uses more digits than its factorization.

416374566912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 935 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 416374566912 in words is "four hundred sixteen billion, three hundred seventy-four million, five hundred sixty-six thousand, nine hundred twelve".