14276979025920 has 480 divisors, whose sum is σ = 55109552457960. Its totient is φ = 3514330644480.

The previous prime is 14276979025901. The next prime is 14276979025973. The reversal of 14276979025920 is 2952097967241.

14276979025920 is a `hidden beast` number, since 1 + 4 + 276 + 9 + 7 + 90 + 259 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6442174964736 + 7834804061184 = 2538144^2 + 2799072^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10120690 + ... + 11444750.

Almost surely, 2^{14276979025920} is an apocalyptic number.

14276979025920 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 14276979025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27554776228980).

14276979025920 is an abundant number, since it is smaller than the sum of its proper divisors (40832573432040).

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

14276979025920 is a wasteful number, since it uses less digits than its factorization.

14276979025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324113 (or 1324084 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 14276979025920 in words is "fourteen trillion, two hundred seventy-six billion, nine hundred seventy-nine million, twenty-five thousand, nine hundred twenty".