14201971968000 has 768 divisors, whose sum is σ = 49371443896320. Its totient is φ = 3620364288000.

The previous prime is 14201971967999. The next prime is 14201971968013. The reversal of 14201971968000 is 86917910241.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1976060407 + ... + 1976067593.

It is an arithmetic number, because the mean of its divisors is an integer number (64285734240).

Almost surely, 2^{14201971968000} is an apocalyptic number.

14201971968000 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 14201971968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24685721948160).

14201971968000 is an abundant number, since it is smaller than the sum of its proper divisors (35169471928320).

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

14201971968000 is an equidigital number, since it uses as much as digits as its factorization.

14201971968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7341 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 14201971968000 in words is "fourteen trillion, two hundred one billion, nine hundred seventy-one million, nine hundred sixty-eight thousand".