444724972288 has 144 divisors (see below), whose sum is σ = 970013721600. Its totient is φ = 202932817920.

The previous prime is 444724972271. The next prime is 444724972333. The reversal of 444724972288 is 882279427444.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9873723 + ... + 9918661.

It is an arithmetic number, because the mean of its divisors is an integer number (6736206400).

Almost surely, 2^444724972288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444724972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485006860800).

444724972288 is an abundant number, since it is smaller than the sum of its proper divisors (525288749312).

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

444724972288 is a wasteful number, since it uses less digits than its factorization.

444724972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45058 (or 45044 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 61.

The spelling of 444724972288 in words is "four hundred forty-four billion, seven hundred twenty-four million, nine hundred seventy-two thousand, two hundred eighty-eight".