4800441072 has 160 divisors (see below), whose sum is σ = 14559068160. Its totient is φ = 1334649600.

The previous prime is 4800441053. The next prime is 4800441073. The reversal of 4800441072 is 2701440084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800441073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2040697 + ... + 2043047.

It is an arithmetic number, because the mean of its divisors is an integer number (90994176).

Almost surely, 2^4800441072 is an apocalyptic number.

4800441072 is a gapful number since it is divisible by the number (42) 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 4800441072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279534080).

4800441072 is an abundant number, since it is smaller than the sum of its proper divisors (9758627088).

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

4800441072 is a wasteful number, since it uses less digits than its factorization.

4800441072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 4800441072 is about 69285.2153926074. The cubic root of 4800441072 is about 1686.9169977060.

The spelling of 4800441072 in words is "four billion, eight hundred million, four hundred forty-one thousand, seventy-two".