444284788480 has 576 divisors, whose sum is σ = 1275769958400. Its totient is φ = 146715770880.

The previous prime is 444284788477. The next prime is 444284788511. The reversal of 444284788480 is 84887482444.

It is a congruent number.

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, 430925565 + ... + 430926595.

It is an arithmetic number, because the mean of its divisors is an integer number (2214878400).

Almost surely, 2^444284788480 is an apocalyptic number.

444284788480 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 444284788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637884979200).

444284788480 is an abundant number, since it is smaller than the sum of its proper divisors (831485169920).

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

444284788480 is a wasteful number, since it uses less digits than its factorization.

444284788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 58720256, while the sum is 61.

The spelling of 444284788480 in words is "four hundred forty-four billion, two hundred eighty-four million, seven hundred eighty-eight thousand, four hundred eighty".