444218778528 has 768 divisors, whose sum is σ = 1567014543360. Its totient is φ = 107053056000.

The previous prime is 444218778517. The next prime is 444218778533. The reversal of 444218778528 is 825877812444.

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 127 ways as a sum of consecutive naturals, for example, 504220648 + ... + 504221528.

It is an arithmetic number, because the mean of its divisors is an integer number (2040383520).

Almost surely, 2^444218778528 is an apocalyptic number.

444218778528 is a gapful number since it is divisible by the number (48) 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 444218778528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783507271680).

444218778528 is an abundant number, since it is smaller than the sum of its proper divisors (1122795764832).

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

444218778528 is a wasteful number, since it uses less digits than its factorization.

444218778528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its digits is 32112640, while the sum is 60.

The spelling of 444218778528 in words is "four hundred forty-four billion, two hundred eighteen million, seven hundred seventy-eight thousand, five hundred twenty-eight".