441442022160 has 160 divisors (see below), whose sum is σ = 1443753308160. Its totient is φ = 111269942784.

The previous prime is 441442022159. The next prime is 441442022173. The reversal of 441442022160 is 61220244144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910817 + ... + 2129343.

It is an arithmetic number, because the mean of its divisors is an integer number (9023458176).

Almost surely, 2^441442022160 is an apocalyptic number.

441442022160 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 441442022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721876654080).

441442022160 is an abundant number, since it is smaller than the sum of its proper divisors (1002311286000).

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

441442022160 is a wasteful number, since it uses less digits than its factorization.

441442022160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219005 (or 218999 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 441442022160 in words is "four hundred forty-one billion, four hundred forty-two million, twenty-two thousand, one hundred sixty".