409459398497137 has 6 divisors (see below), whose sum is σ = 413250370130598. Its totient is φ = 405702890242272.

The previous prime is 409459398496997. The next prime is 409459398497189. The reversal of 409459398497137 is 731794893954904.

It can be written as a sum of positive squares in 3 ways, for example, as 21145613646096 + 388313784851041 = 4598436^2 + 19705679^2 .

It is a de Polignac number, because none of the positive numbers 2^k-409459398497137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409459398497437) 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 in 5 ways as a sum of consecutive naturals, for example, 17231677308 + ... + 17231701069.

It is an arithmetic number, because the mean of its divisors is an integer number (68875061688433).

Almost surely, 2^{409459398497137} is an apocalyptic number.

It is an amenable number.

409459398497137 is a deficient number, since it is larger than the sum of its proper divisors (3790971633461).

409459398497137 is an equidigital number, since it uses as much as digits as its factorization.

409459398497137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34463378595 (or 34463378486 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 82.

The spelling of 409459398497137 in words is "four hundred nine trillion, four hundred fifty-nine billion, three hundred ninety-eight million, four hundred ninety-seven thousand, one hundred thirty-seven".