441939120 has 320 divisors, whose sum is σ = 1662750720. Its totient is φ = 94961664.

The previous prime is 441939119. The next prime is 441939139. The reversal of 441939120 is 21939144.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2289744 + ... + 2289936.

It is an arithmetic number, because the mean of its divisors is an integer number (5196096).

Almost surely, 2^441939120 is an apocalyptic number.

441939120 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 441939120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831375360).

441939120 is an abundant number, since it is smaller than the sum of its proper divisors (1220811600).

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

441939120 is a wasteful number, since it uses less digits than its factorization.

441939120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 441939120 is about 21022.3481086200. The cubic root of 441939120 is about 761.7061852481.

The spelling of 441939120 in words is "four hundred forty-one million, nine hundred thirty-nine thousand, one hundred twenty".