409411834728 has 128 divisors (see below), whose sum is σ = 1108043059200. Its totient is φ = 125313785856.

The previous prime is 409411834631. The next prime is 409411834759. The reversal of 409411834728 is 827438114904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58159833 + ... + 58166871.

It is an arithmetic number, because the mean of its divisors is an integer number (8656586400).

Almost surely, 2^409411834728 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 409411834728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554021529600).

409411834728 is an abundant number, since it is smaller than the sum of its proper divisors (698631224472).

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

409411834728 is a wasteful number, since it uses less digits than its factorization.

409411834728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 409411834728 in words is "four hundred nine billion, four hundred eleven million, eight hundred thirty-four thousand, seven hundred twenty-eight".