409321621117 has 2 divisors, whose sum is σ = 409321621118. Its totient is φ = 409321621116.

The previous prime is 409321621061. The next prime is 409321621249. The reversal of 409321621117 is 711126123904.

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., 261012679236 + 148308941881 = 510894^2 + 385109^2 .

It is a cyclic number.

It is not a de Polignac number, because 409321621117 - 2²⁷ = 409187403389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409321621417) 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, 204660810558 + 204660810559.

It is an arithmetic number, because the mean of its divisors is an integer number (204660810559).

Almost surely, 2^409321621117 is an apocalyptic number.

It is an amenable number.

409321621117 is a deficient number, since it is larger than the sum of its proper divisors (1).

409321621117 is an equidigital number, since it uses as much as digits as its factorization.

409321621117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 409321621117 in words is "four hundred nine billion, three hundred twenty-one million, six hundred twenty-one thousand, one hundred seventeen".