4840180800 has 504 divisors, whose sum is σ = 19905975936. Its totient is φ = 1020579840.

The previous prime is 4840180799. The next prime is 4840180853. The reversal of 4840180800 is 80810484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3056809 + ... + 3058391.

It is an arithmetic number, because the mean of its divisors is an integer number (39495984).

Almost surely, 2^4840180800 is an apocalyptic number.

4840180800 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 4840180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952987968).

4840180800 is an abundant number, since it is smaller than the sum of its proper divisors (15065795136).

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

4840180800 is a wasteful number, since it uses less digits than its factorization.

4840180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 4840180800 is about 69571.4079202081. The cubic root of 4840180800 is about 1691.5591740391.

The spelling of 4840180800 in words is "four billion, eight hundred forty million, one hundred eighty thousand, eight hundred".