441085924449 has 27 divisors (see below), whose sum is σ = 649527639033. Its totient is φ = 288439961472.

The previous prime is 441085924423. The next prime is 441085924453. The reversal of 441085924449 is 944429580144.

The square root of 441085924449 is 664143.

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

441085924449 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 8 + 592 + 4 + 4 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 198253796049 + 242832128400 = 445257^2 + 492780^2 .

It is not a de Polignac number, because 441085924449 - 2⁹ = 441085923937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 441085924395 and 441085924404.

It is not an unprimeable number, because it can be changed into a prime (441085924249) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 105596649 + ... + 105600825.

Almost surely, 2^441085924449 is an apocalyptic number.

441085924449 is the 664143-rd square number.

441085924449 is the 332072-nd centered octagonal number.

It is an amenable number.

441085924449 is a deficient number, since it is larger than the sum of its proper divisors (208441714584).

441085924449 is an frugal number, since it uses more digits than its factorization.

441085924449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 441085924449 in words is "four hundred forty-one billion, eighty-five million, nine hundred twenty-four thousand, four hundred forty-nine".