14097943872000 has 960 divisors, whose sum is σ = 53925341842944. Its totient is φ = 3527766835200.

The previous prime is 14097943871989. The next prime is 14097943872029. The reversal of 14097943872000 is 27834979041.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3593662039 + ... + 3593665961.

Almost surely, 2^{14097943872000} is an apocalyptic number.

14097943872000 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 14097943872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26962670921472).

14097943872000 is an abundant number, since it is smaller than the sum of its proper divisors (39827397970944).

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

14097943872000 is a wasteful number, since it uses less digits than its factorization.

14097943872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 14097943872000 in words is "fourteen trillion, ninety-seven billion, nine hundred forty-three million, eight hundred seventy-two thousand".