404032414332193 has 2 divisors, whose sum is σ = 404032414332194. Its totient is φ = 404032414332192.

The previous prime is 404032414332167. The next prime is 404032414332221. The reversal of 404032414332193 is 391233414230404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215772390991249 + 188260023340944 = 14689193^2 + 13720788^2 .

It is a cyclic number.

It is not a de Polignac number, because 404032414332193 - 2³⁷ = 403894975378721 is a prime.

It is a super-2 number, since 2×404032414332193² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (404032414332293) 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 as a sum of consecutive naturals, namely, 202016207166096 + 202016207166097.

It is an arithmetic number, because the mean of its divisors is an integer number (202016207166097).

Almost surely, 2^{404032414332193} is an apocalyptic number.

It is an amenable number.

404032414332193 is a deficient number, since it is larger than the sum of its proper divisors (1).

404032414332193 is an equidigital number, since it uses as much as digits as its factorization.

404032414332193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 43.

Adding to 404032414332193 its reverse (391233414230404), we get a palindrome (795265828562597).

The spelling of 404032414332193 in words is "four hundred four trillion, thirty-two billion, four hundred fourteen million, three hundred thirty-two thousand, one hundred ninety-three".