409013964268 has 144 divisors (see below), whose sum is σ = 908651217600. Its totient is φ = 157643366400.

The previous prime is 409013964239. The next prime is 409013964299. The reversal of 409013964268 is 862469310904.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 264049558 + ... + 264051106.

It is an arithmetic number, because the mean of its divisors is an integer number (6310077900).

Almost surely, 2^409013964268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409013964268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454325608800).

409013964268 is an abundant number, since it is smaller than the sum of its proper divisors (499637253332).

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

409013964268 is a wasteful number, since it uses less digits than its factorization.

409013964268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 409013964268 in words is "four hundred nine billion, thirteen million, nine hundred sixty-four thousand, two hundred sixty-eight".