416576251416 has 512 divisors, whose sum is σ = 1251892454400. Its totient is φ = 114383093760.

The previous prime is 416576251393. The next prime is 416576251493. The reversal of 416576251416 is 614152675614.

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, 940352491 + ... + 940352933.

It is an arithmetic number, because the mean of its divisors is an integer number (2445102450).

Almost surely, 2^416576251416 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 416576251416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625946227200).

416576251416 is an abundant number, since it is smaller than the sum of its proper divisors (835316202984).

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

416576251416 is a wasteful number, since it uses less digits than its factorization.

416576251416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 647 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 416576251416 in words is "four hundred sixteen billion, five hundred seventy-six million, two hundred fifty-one thousand, four hundred sixteen".