14012793961920 has 1120 divisors, whose sum is σ = 59829877800000. Its totient is φ = 3075515744256.

The previous prime is 14012793961913. The next prime is 14012793961981. The reversal of 14012793961920 is 2916939721041.

14012793961920 is a `hidden beast` number, since 1 + 4 + 0 + 12 + 7 + 9 + 3 + 9 + 619 + 2 + 0 = 666.

It is a super-2 number, since 2×14012793961920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108773706 + ... + 108902454.

It is an arithmetic number, because the mean of its divisors is an integer number (53419533750).

Almost surely, 2^{14012793961920} is an apocalyptic number.

14012793961920 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 14012793961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29914938900000).

14012793961920 is an abundant number, since it is smaller than the sum of its proper divisors (45817083838080).

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

14012793961920 is a wasteful number, since it uses less digits than its factorization.

14012793961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128827 (or 128808 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 14012793961920 in words is "fourteen trillion, twelve billion, seven hundred ninety-three million, nine hundred sixty-one thousand, nine hundred twenty".