444320344224 has 72 divisors (see below), whose sum is σ = 1297685631060. Its totient is φ = 144103891968.

The previous prime is 444320344183. The next prime is 444320344277. The reversal of 444320344224 is 422443023444.

444320344224 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 203 + 442 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 357283543824 + 87036800400 = 597732^2 + 295020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20837709 + ... + 20859020.

Almost surely, 2^444320344224 is an apocalyptic number.

It is an amenable number.

444320344224 is an abundant number, since it is smaller than the sum of its proper divisors (853365286836).

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

444320344224 is a wasteful number, since it uses less digits than its factorization.

444320344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41696782 (or 41696771 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 444320344224 its reverse (422443023444), we get a palindrome (866763367668).

It can be divided in two parts, 444320 and 344224, that added together give a square (788544 = 888²).

The spelling of 444320344224 in words is "four hundred forty-four billion, three hundred twenty million, three hundred forty-four thousand, two hundred twenty-four".