12714994938240 has 1536 divisors, whose sum is σ = 57231141027840. Its totient is φ = 2531902095360.

The previous prime is 12714994938203. The next prime is 12714994938287. The reversal of 12714994938240 is 4283949941721.

12714994938240 is a `hidden beast` number, since 1 + 2 + 7 + 14 + 99 + 493 + 8 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 488705712 + ... + 488731728.

It is an arithmetic number, because the mean of its divisors is an integer number (37259857440).

Almost surely, 2^{12714994938240} is an apocalyptic number.

12714994938240 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 12714994938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28615570513920).

12714994938240 is an abundant number, since it is smaller than the sum of its proper divisors (44516146089600).

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

12714994938240 is a wasteful number, since it uses less digits than its factorization.

12714994938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26120 (or 26105 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 12714994938240 in words is "twelve trillion, seven hundred fourteen billion, nine hundred ninety-four million, nine hundred thirty-eight thousand, two hundred forty".