444042313225 has 81 divisors (see below), whose sum is σ = 651421659861. Its totient is φ = 299384467200.

The previous prime is 444042313219. The next prime is 444042313333. The reversal of 444042313225 is 522313240444.

The square root of 444042313225 is 666365.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6608226681 + 437434086544 = 81291^2 + 661388^2 .

It is not a de Polignac number, because 444042313225 - 2³ = 444042313217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1842499105 + ... + 1842499345.

Almost surely, 2^444042313225 is an apocalyptic number.

444042313225 is the 666365-th square number.

444042313225 is the 333183-rd centered octagonal number.

It is an amenable number.

444042313225 is a deficient number, since it is larger than the sum of its proper divisors (207379346636).

444042313225 is an frugal number, since it uses more digits than its factorization.

444042313225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 444042313225 its reverse (522313240444), we get a palindrome (966355553669).

The spelling of 444042313225 in words is "four hundred forty-four billion, forty-two million, three hundred thirteen thousand, two hundred twenty-five".