4518412800 has 480 divisors, whose sum is σ = 17170686720. Its totient is φ = 1035878400.

The previous prime is 4518412771. The next prime is 4518412853. The reversal of 4518412800 is 82148154.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8025319 + ... + 8025881.

It is an arithmetic number, because the mean of its divisors is an integer number (35772264).

Almost surely, 2^4518412800 is an apocalyptic number.

4518412800 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 4518412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585343360).

4518412800 is an abundant number, since it is smaller than the sum of its proper divisors (12652273920).

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

4518412800 is a wasteful number, since it uses less digits than its factorization.

4518412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 4518412800 is about 67219.1401313644. The cubic root of 4518412800 is about 1653.2123278303.

The spelling of 4518412800 in words is "four billion, five hundred eighteen million, four hundred twelve thousand, eight hundred".