204004434401 has 16 divisors (see below), whose sum is σ = 212965137360. Its totient is φ = 195173099520.

The previous prime is 204004434379. The next prime is 204004434449. The reversal of 204004434401 is 104434400402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1526933776 + 202477500625 = 39076^2 + 449975^2 .

It is not a de Polignac number, because 204004434401 - 2¹⁴ = 204004418017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204004430401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17234381 + ... + 17246213.

It is an arithmetic number, because the mean of its divisors is an integer number (13310321085).

Almost surely, 2^204004434401 is an apocalyptic number.

It is an amenable number.

204004434401 is a deficient number, since it is larger than the sum of its proper divisors (8960702959).

204004434401 is a wasteful number, since it uses less digits than its factorization.

204004434401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17236.

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 204004434401 its reverse (104434400402), we get a palindrome (308438834803).

The spelling of 204004434401 in words is "two hundred four billion, four million, four hundred thirty-four thousand, four hundred one".