441440160 has 96 divisors (see below), whose sum is σ = 1589196672. Its totient is φ = 100899840.

The previous prime is 441440159. The next prime is 441440171. The reversal of 441440160 is 61044144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 441440160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62331 + ... + 69050.

It is an arithmetic number, because the mean of its divisors is an integer number (16554132).

Almost surely, 2^441440160 is an apocalyptic number.

441440160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441440160 is an abundant number, since it is smaller than the sum of its proper divisors (1147756512).

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

441440160 is a wasteful number, since it uses less digits than its factorization.

441440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131406 (or 131398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 441440160 is about 21010.4773862947. The cubic root of 441440160 is about 761.4194157034.

The spelling of 441440160 in words is "four hundred forty-one million, four hundred forty thousand, one hundred sixty".