12840413760 has 224 divisors, whose sum is σ = 45387889920. Its totient is φ = 3417329664.

The previous prime is 12840413741. The next prime is 12840413797. The reversal of 12840413760 is 6731404821.

12840413760 is a `hidden beast` number, since 1 + 284 + 0 + 4 + 1 + 376 + 0 = 666.

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

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, 5588932 + ... + 5591228.

Almost surely, 2^12840413760 is an apocalyptic number.

12840413760 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 12840413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22693944960).

12840413760 is an abundant number, since it is smaller than the sum of its proper divisors (32547476160).

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

12840413760 is a wasteful number, since it uses less digits than its factorization.

12840413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2970 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12840413760 in words is "twelve billion, eight hundred forty million, four hundred thirteen thousand, seven hundred sixty".