409857289338 has 128 divisors (see below), whose sum is σ = 1013589282816. Its totient is φ = 107830195200.

The previous prime is 409857289313. The next prime is 409857289363. The reversal of 409857289338 is 833982758904.

It is an interprime number because it is at equal distance from previous prime (409857289313) and next prime (409857289363).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6610056 + ... + 6671772.

It is an arithmetic number, because the mean of its divisors is an integer number (7918666272).

Almost surely, 2^409857289338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409857289338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506794641408).

409857289338 is an abundant number, since it is smaller than the sum of its proper divisors (603731993478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409857289338 is a wasteful number, since it uses less digits than its factorization.

409857289338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61948.

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 409857289338 in words is "four hundred nine billion, eight hundred fifty-seven million, two hundred eighty-nine thousand, three hundred thirty-eight".