404800400813 has 2 divisors, whose sum is σ = 404800400814. Its totient is φ = 404800400812.

The previous prime is 404800400789. The next prime is 404800400863. The reversal of 404800400813 is 318004008404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 329111037124 + 75689363689 = 573682^2 + 275117^2 .

It is a cyclic number.

It is not a de Polignac number, because 404800400813 - 2¹⁸ = 404800138669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404800400813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404800400863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202400200406 + 202400200407.

It is an arithmetic number, because the mean of its divisors is an integer number (202400200407).

Almost surely, 2^404800400813 is an apocalyptic number.

It is an amenable number.

404800400813 is a deficient number, since it is larger than the sum of its proper divisors (1).

404800400813 is an equidigital number, since it uses as much as digits as its factorization.

404800400813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 404800400813 in words is "four hundred four billion, eight hundred million, four hundred thousand, eight hundred thirteen".