404233113224205 has 12 divisors (see below), whose sum is σ = 700670729588700. Its totient is φ = 215590993719552.

The previous prime is 404233113224197. The next prime is 404233113224207. The reversal of 404233113224205 is 502422311332404.

404233113224205 is a `hidden beast` number, since 4 + 0 + 423 + 3 + 1 + 1 + 3 + 2 + 24 + 205 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67090744519236 + 337142368704969 = 8190894^2 + 18361437^2 .

It is not a de Polignac number, because 404233113224205 - 2³ = 404233113224197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404233113224205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404233113224207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4491479035780 + ... + 4491479035869.

It is an arithmetic number, because the mean of its divisors is an integer number (58389227465725).

Almost surely, 2^{404233113224205} is an apocalyptic number.

404233113224205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404233113224205 is a deficient number, since it is larger than the sum of its proper divisors (296437616364495).

404233113224205 is a wasteful number, since it uses less digits than its factorization.

404233113224205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982958071660 (or 8982958071657 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 404233113224205 its reverse (502422311332404), we get a palindrome (906655424556609).

The spelling of 404233113224205 in words is "four hundred four trillion, two hundred thirty-three billion, one hundred thirteen million, two hundred twenty-four thousand, two hundred five".