14259406993920 has 1280 divisors, whose sum is σ = 56002129920000. Its totient is φ = 3410465587200.

The previous prime is 14259406993889. The next prime is 14259406993961. The reversal of 14259406993920 is 2939960495241.

14259406993920 is a `hidden beast` number, since 1 + 4 + 2 + 59 + 406 + 9 + 93 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×14259406993920² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21637946551 + ... + 21637947209.

It is an arithmetic number, because the mean of its divisors is an integer number (43751664000).

Almost surely, 2^{14259406993920} is an apocalyptic number.

14259406993920 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 14259406993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28001064960000).

14259406993920 is an abundant number, since it is smaller than the sum of its proper divisors (41742722926080).

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

14259406993920 is a wasteful number, since it uses less digits than its factorization.

14259406993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 14259406993920 in words is "fourteen trillion, two hundred fifty-nine billion, four hundred six million, nine hundred ninety-three thousand, nine hundred twenty".