444114430344 has 96 divisors (see below), whose sum is σ = 1330342879320. Its totient is φ = 132957324288.

The previous prime is 444114430339. The next prime is 444114430351. The reversal of 444114430344 is 443034411444.

444114430344 is a `hidden beast` number, since 4 + 441 + 144 + 30 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 443771810244 + 342620100 = 666162^2 + 18510^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 444114430299 and 444114430308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6377277 + ... + 6446540.

Almost surely, 2^444114430344 is an apocalyptic number.

It is an amenable number.

444114430344 is an abundant number, since it is smaller than the sum of its proper divisors (886228448976).

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

444114430344 is a wasteful number, since it uses less digits than its factorization.

444114430344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12823879 (or 12823872 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444114430344 its reverse (443034411444), we get a palindrome (887148841788).

The spelling of 444114430344 in words is "four hundred forty-four billion, one hundred fourteen million, four hundred thirty thousand, three hundred forty-four".