14056497728000 has 1920 divisors, whose sum is σ = 46474456444416. Its totient is φ = 4124639232000.

The previous prime is 14056497727999. The next prime is 14056497728017. The reversal of 14056497728000 is 82779465041.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326895295979 + ... + 326895296021.

Almost surely, 2^{14056497728000} is an apocalyptic number.

14056497728000 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 14056497728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23237228222208).

14056497728000 is an abundant number, since it is smaller than the sum of its proper divisors (32417958716416).

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

14056497728000 is an equidigital number, since it uses as much as digits as its factorization.

14056497728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 14056497728000 in words is "fourteen trillion, fifty-six billion, four hundred ninety-seven million, seven hundred twenty-eight thousand".