4841448800 has 72 divisors (see below), whose sum is σ = 11885567400. Its totient is φ = 1925703680.

The previous prime is 4841448791. The next prime is 4841448817. The reversal of 4841448800 is 88441484.

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 11 ways as a sum of consecutive naturals, for example, 126296 + ... + 160104.

It is an arithmetic number, because the mean of its divisors is an integer number (165077325).

Almost surely, 2^4841448800 is an apocalyptic number.

4841448800 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 4841448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942783700).

4841448800 is an abundant number, since it is smaller than the sum of its proper divisors (7044118600).

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

4841448800 is a wasteful number, since it uses less digits than its factorization.

4841448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34008 (or 33995 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 41.

The square root of 4841448800 is about 69580.5202624988. The cubic root of 4841448800 is about 1691.7068758053.

The spelling of 4841448800 in words is "four billion, eight hundred forty-one million, four hundred forty-eight thousand, eight hundred".