444527878528 has 64 divisors (see below), whose sum is σ = 891289969920. Its totient is φ = 220832801280.

The previous prime is 444527878513. The next prime is 444527878577. The reversal of 444527878528 is 825878725444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 444527878528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75048175 + ... + 75054097.

It is an arithmetic number, because the mean of its divisors is an integer number (13926405780).

Almost surely, 2^444527878528 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 444527878528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445644984960).

444527878528 is an abundant number, since it is smaller than the sum of its proper divisors (446762091392).

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

444527878528 is a wasteful number, since it uses less digits than its factorization.

444527878528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9615 (or 9603 counting only the distinct ones).

The product of its digits is 160563200, while the sum is 64.

The spelling of 444527878528 in words is "four hundred forty-four billion, five hundred twenty-seven million, eight hundred seventy-eight thousand, five hundred twenty-eight".