408144809021 has 2 divisors, whose sum is σ = 408144809022. Its totient is φ = 408144809020.

The previous prime is 408144808991. The next prime is 408144809071. The reversal of 408144809021 is 120908441804.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327800906521 + 80343902500 = 572539^2 + 283450^2 .

It is a cyclic number.

It is not a de Polignac number, because 408144809021 - 2³⁸ = 133266902077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 408144809021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408144809071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204072404510 + 204072404511.

It is an arithmetic number, because the mean of its divisors is an integer number (204072404511).

Almost surely, 2^408144809021 is an apocalyptic number.

It is an amenable number.

408144809021 is a deficient number, since it is larger than the sum of its proper divisors (1).

408144809021 is an equidigital number, since it uses as much as digits as its factorization.

408144809021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 408144809021 in words is "four hundred eight billion, one hundred forty-four million, eight hundred nine thousand, twenty-one".