404444004017 has 2 divisors, whose sum is σ = 404444004018. Its totient is φ = 404444004016.

The previous prime is 404444003983. The next prime is 404444004031. The reversal of 404444004017 is 710400444404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283424205376 + 121019798641 = 532376^2 + 347879^2 .

It is a cyclic number.

It is not a de Polignac number, because 404444004017 - 2¹⁰ = 404444002993 is a prime.

It is a super-2 number, since 2×404444004017² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (404444004037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202222002008 + 202222002009.

It is an arithmetic number, because the mean of its divisors is an integer number (202222002009).

Almost surely, 2^404444004017 is an apocalyptic number.

It is an amenable number.

404444004017 is a deficient number, since it is larger than the sum of its proper divisors (1).

404444004017 is an equidigital number, since it uses as much as digits as its factorization.

404444004017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28672, while the sum is 32.

The spelling of 404444004017 in words is "four hundred four billion, four hundred forty-four million, four thousand, seventeen".