14027917996800 has 1296 divisors, whose sum is σ = 53676433155072. Its totient is φ = 3622894387200.

The previous prime is 14027917996711. The next prime is 14027917996801. The reversal of 14027917996800 is 869971972041.

14027917996800 is a `hidden beast` number, since 1 + 402 + 79 + 1 + 79 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is not an unprimeable number, because it can be changed into a prime (14027917996801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6356101297 + ... + 6356103503.

Almost surely, 2^{14027917996800} is an apocalyptic number.

14027917996800 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 14027917996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26838216577536).

14027917996800 is an abundant number, since it is smaller than the sum of its proper divisors (39648515158272).

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

14027917996800 is an equidigital number, since it uses as much as digits as its factorization.

14027917996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 14027917996800 in words is "fourteen trillion, twenty-seven billion, nine hundred seventeen million, nine hundred ninety-six thousand, eight hundred".