14120590972800 has 384 divisors, whose sum is σ = 53033689064160. Its totient is φ = 3271376240640.

The previous prime is 14120590972759. The next prime is 14120590972847. The reversal of 14120590972800 is 827909502141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14120590972800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14120590972800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1206217 + ... + 5449416.

Almost surely, 2^{14120590972800} is an apocalyptic number.

14120590972800 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 14120590972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516844532080).

14120590972800 is an abundant number, since it is smaller than the sum of its proper divisors (38913098091360).

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

14120590972800 is a wasteful number, since it uses less digits than its factorization.

14120590972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655690 (or 6655673 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 14120590972800 in words is "fourteen trillion, one hundred twenty billion, five hundred ninety million, nine hundred seventy-two thousand, eight hundred".