12405395728 has 80 divisors (see below), whose sum is σ = 26469734400. Its totient is φ = 5585500800.

The previous prime is 12405395701. The next prime is 12405395729. The reversal of 12405395728 is 82759350421.

It is not an unprimeable number, because it can be changed into a prime (12405395729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9490851 + ... + 9492157.

It is an arithmetic number, because the mean of its divisors is an integer number (330871680).

Almost surely, 2^12405395728 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 12405395728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234867200).

12405395728 is an abundant number, since it is smaller than the sum of its proper divisors (14064338672).

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

12405395728 is a wasteful number, since it uses less digits than its factorization.

12405395728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 12405395728 in words is "twelve billion, four hundred five million, three hundred ninety-five thousand, seven hundred twenty-eight".