408000808081 has 2 divisors, whose sum is σ = 408000808082. Its totient is φ = 408000808080.

The previous prime is 408000808069. The next prime is 408000808123. The reversal of 408000808081 is 180808000804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228804372225 + 179196435856 = 478335^2 + 423316^2 .

It is a cyclic number.

It is not a de Polignac number, because 408000808081 - 2²³ = 407992419473 is a prime.

It is a super-2 number, since 2×408000808081² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 408000808081.

It is not a weakly prime, because it can be changed into another prime (408000808781) 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, 204000404040 + 204000404041.

It is an arithmetic number, because the mean of its divisors is an integer number (204000404041).

Almost surely, 2^408000808081 is an apocalyptic number.

It is an amenable number.

408000808081 is a deficient number, since it is larger than the sum of its proper divisors (1).

408000808081 is an equidigital number, since it uses as much as digits as its factorization.

408000808081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16384, while the sum is 37.

Adding to 408000808081 its reverse (180808000804), we get a palindrome (588808808885).

The spelling of 408000808081 in words is "four hundred eight billion, eight hundred eight thousand, eighty-one".