12405795840 has 352 divisors, whose sum is σ = 45134876160. Its totient is φ = 3229728768.

The previous prime is 12405795811. The next prime is 12405795863. The reversal of 12405795840 is 4859750421.

12405795840 is a `hidden beast` number, since 1 + 24 + 0 + 579 + 58 + 4 + 0 = 666.

It is a super-2 number, since 2×12405795840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5943277 + ... + 5945363.

It is an arithmetic number, because the mean of its divisors is an integer number (128224080).

Almost surely, 2^12405795840 is an apocalyptic number.

12405795840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12405795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22567438080).

12405795840 is an abundant number, since it is smaller than the sum of its proper divisors (32729080320).

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

12405795840 is a wasteful number, since it uses less digits than its factorization.

12405795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12405795840 in words is "twelve billion, four hundred five million, seven hundred ninety-five thousand, eight hundred forty".