4580442216 has 128 divisors (see below), whose sum is σ = 14879462400. Its totient is φ = 1278244800.

The previous prime is 4580442193. The next prime is 4580442247. The reversal of 4580442216 is 6122440854.

4580442216 is a `hidden beast` number, since 4 + 580 + 44 + 22 + 16 = 666.

It is a super-2 number, since 2×4580442216² = 41960901788229981312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29791 + ... + 100241.

It is an arithmetic number, because the mean of its divisors is an integer number (116245800).

Almost surely, 2^4580442216 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 4580442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439731200).

4580442216 is an abundant number, since it is smaller than the sum of its proper divisors (10299020184).

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

4580442216 is a wasteful number, since it uses less digits than its factorization.

4580442216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70516 (or 70506 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4580442216 is about 67678.9643537783. The cubic root of 4580442216 is about 1660.7431491365.

The spelling of 4580442216 in words is "four billion, five hundred eighty million, four hundred forty-two thousand, two hundred sixteen".