4844128800 has 288 divisors, whose sum is σ = 18509565312. Its totient is φ = 1077166080.

The previous prime is 4844128799. The next prime is 4844128811. The reversal of 4844128800 is 88214484.

It is a super-3 number, since 3×4844128800³ (a number of 30 digits) contains 333 as substring.

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, 617704 + ... + 625496.

It is an arithmetic number, because the mean of its divisors is an integer number (64269324).

Almost surely, 2^4844128800 is an apocalyptic number.

4844128800 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 4844128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9254782656).

4844128800 is an abundant number, since it is smaller than the sum of its proper divisors (13665436512).

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

4844128800 is a wasteful number, since it uses less digits than its factorization.

4844128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 4844128800 is about 69599.7758617081. The cubic root of 4844128800 is about 1692.0189682050.

The spelling of 4844128800 in words is "four billion, eight hundred forty-four million, one hundred twenty-eight thousand, eight hundred".