12914400240 has 240 divisors, whose sum is σ = 51403043328. Its totient is φ = 2951831808.

The previous prime is 12914400229. The next prime is 12914400253. The reversal of 12914400240 is 4200441921.

It is a happy number.

12914400240 is a `hidden beast` number, since 1 + 2 + 9 + 14 + 400 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88629 + ... + 183531.

Almost surely, 2^12914400240 is an apocalyptic number.

12914400240 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 12914400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25701521664).

12914400240 is an abundant number, since it is smaller than the sum of its proper divisors (38488643088).

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

12914400240 is an equidigital number, since it uses as much as digits as its factorization.

12914400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94938 (or 94920 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12914400240 in words is "twelve billion, nine hundred fourteen million, four hundred thousand, two hundred forty".