14130822625920 has 3584 divisors, whose sum is σ = 69044974387200. Its totient is φ = 2669111377920.

The previous prime is 14130822625883. The next prime is 14130822625961. The reversal of 14130822625920 is 2952622803141.

14130822625920 is a `hidden beast` number, since 1 + 4 + 1 + 30 + 8 + 2 + 26 + 2 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 36895098049 + ... + 36895098431.

It is an arithmetic number, because the mean of its divisors is an integer number (19264780800).

Almost surely, 2^{14130822625920} is an apocalyptic number.

14130822625920 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 14130822625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34522487193600).

14130822625920 is an abundant number, since it is smaller than the sum of its proper divisors (54914151761280).

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

14130822625920 is a wasteful number, since it uses less digits than its factorization.

14130822625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14130822625920 in words is "fourteen trillion, one hundred thirty billion, eight hundred twenty-two million, six hundred twenty-five thousand, nine hundred twenty".