4417634416 has 160 divisors (see below), whose sum is σ = 10175348736. Its totient is φ = 1838592000.

The previous prime is 4417634371. The next prime is 4417634453. The reversal of 4417634416 is 6144367144.

It is a super-2 number, since 2×4417634416² = 39030987666855322112, which contains 22 as substring.

It is a congruent number.

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, 20936551 + ... + 20936761.

Almost surely, 2^4417634416 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 4417634416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087674368).

4417634416 is an abundant number, since it is smaller than the sum of its proper divisors (5757714320).

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

4417634416 is a wasteful number, since it uses less digits than its factorization.

4417634416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 4417634416 is about 66465.2873009664. The cubic root of 4417634416 is about 1640.8287522588.

The spelling of 4417634416 in words is "four billion, four hundred seventeen million, six hundred thirty-four thousand, four hundred sixteen".