4516444320 has 192 divisors, whose sum is σ = 14673125376. Its totient is φ = 1167119360.

The previous prime is 4516444307. The next prime is 4516444363. The reversal of 4516444320 is 234446154.

It is a happy 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, 2412985 + ... + 2414855.

It is an arithmetic number, because the mean of its divisors is an integer number (76422528).

Almost surely, 2^4516444320 is an apocalyptic number.

4516444320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4516444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336562688).

4516444320 is an abundant number, since it is smaller than the sum of its proper divisors (10156681056).

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

4516444320 is a wasteful number, since it uses less digits than its factorization.

4516444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 4516444320 is about 67204.4962781509. The cubic root of 4516444320 is about 1652.9722148931.

The spelling of 4516444320 in words is "four billion, five hundred sixteen million, four hundred forty-four thousand, three hundred twenty".