12840114240 has 336 divisors, whose sum is σ = 46673902080. Its totient is φ = 3234631680.

The previous prime is 12840114227. The next prime is 12840114247. The reversal of 12840114240 is 4241104821.

12840114240 is a `hidden beast` number, since 1 + 2 + 8 + 401 + 14 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (12840114247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3923805 + ... + 3927075.

Almost surely, 2^12840114240 is an apocalyptic number.

12840114240 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 12840114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23336951040).

12840114240 is an abundant number, since it is smaller than the sum of its proper divisors (33833787840).

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

12840114240 is a wasteful number, since it uses less digits than its factorization.

12840114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 12840114240 in words is "twelve billion, eight hundred forty million, one hundred fourteen thousand, two hundred forty".