404395684289 has 2 divisors, whose sum is σ = 404395684290. Its totient is φ = 404395684288.

The previous prime is 404395684213. The next prime is 404395684291. The reversal of 404395684289 is 982486593404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286460448400 + 117935235889 = 535220^2 + 343417^2 .

It is a cyclic number.

It is not a de Polignac number, because 404395684289 - 2²⁴ = 404378907073 is a prime.

It is a super-2 number, since 2×404395684289² (a number of 24 digits) contains 22 as substring.

Together with 404395684291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (404397684289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202197842144 + 202197842145.

It is an arithmetic number, because the mean of its divisors is an integer number (202197842145).

Almost surely, 2^404395684289 is an apocalyptic number.

It is an amenable number.

404395684289 is a deficient number, since it is larger than the sum of its proper divisors (1).

404395684289 is an equidigital number, since it uses as much as digits as its factorization.

404395684289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59719680, while the sum is 62.

The spelling of 404395684289 in words is "four hundred four billion, three hundred ninety-five million, six hundred eighty-four thousand, two hundred eighty-nine".