409411324224 has 336 divisors, whose sum is σ = 1422059079168. Its totient is φ = 109937147904.

The previous prime is 409411324213. The next prime is 409411324247. The reversal of 409411324224 is 422423114904.

409411324224 is a `hidden beast` number, since 409 + 4 + 1 + 1 + 3 + 24 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52980649 + ... + 52988375.

It is an arithmetic number, because the mean of its divisors is an integer number (4232318688).

Almost surely, 2^409411324224 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 409411324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711029539584).

409411324224 is an abundant number, since it is smaller than the sum of its proper divisors (1012647754944).

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

409411324224 is a wasteful number, since it uses less digits than its factorization.

409411324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8542 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 409411324224 in words is "four hundred nine billion, four hundred eleven million, three hundred twenty-four thousand, two hundred twenty-four".