416416376264 has 64 divisors (see below), whose sum is σ = 909483759360. Its totient is φ = 175057102080.

The previous prime is 416416376249. The next prime is 416416376279. The reversal of 416416376264 is 462673614614.

It is an interprime number because it is at equal distance from previous prime (416416376249) and next prime (416416376279).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517454 + ... + 1049090.

It is an arithmetic number, because the mean of its divisors is an integer number (14210683740).

Almost surely, 2^416416376264 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 416416376264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454741879680).

416416376264 is an abundant number, since it is smaller than the sum of its proper divisors (493067383096).

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

416416376264 is a wasteful number, since it uses less digits than its factorization.

416416376264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531918 (or 531914 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 50.

The spelling of 416416376264 in words is "four hundred sixteen billion, four hundred sixteen million, three hundred seventy-six thousand, two hundred sixty-four".