4518400320 has 392 divisors, whose sum is σ = 18442984704. Its totient is φ = 1032403968.

The previous prime is 4518400297. The next prime is 4518400343. The reversal of 4518400320 is 230048154.

It is an interprime number because it is at equal distance from previous prime (4518400297) and next prime (4518400343).

It is a super-2 number, since 2×4518400320² = 40831882903552204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1631577 + ... + 1634343.

Almost surely, 2^4518400320 is an apocalyptic number.

4518400320 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 4518400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9221492352).

4518400320 is an abundant number, since it is smaller than the sum of its proper divisors (13924584384).

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

4518400320 is an equidigital number, since it uses as much as digits as its factorization.

4518400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4518400320 is about 67219.0473005978. The cubic root of 4518400320 is about 1653.2108057539.

Adding to 4518400320 its reverse (230048154), we get a palindrome (4748448474).

The spelling of 4518400320 in words is "four billion, five hundred eighteen million, four hundred thousand, three hundred twenty".