14027328000 has 960 divisors, whose sum is σ = 59749747200. Its totient is φ = 3161088000.

The previous prime is 14027327959. The next prime is 14027328041. The reversal of 14027328000 is 82372041.

It is an interprime number because it is at equal distance from previous prime (14027327959) and next prime (14027328041).

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, 197567965 + ... + 197568035.

It is an arithmetic number, because the mean of its divisors is an integer number (62239320).

Almost surely, 2^14027328000 is an apocalyptic number.

14027328000 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 14027328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29874873600).

14027328000 is an abundant number, since it is smaller than the sum of its proper divisors (45722419200).

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

14027328000 is an frugal number, since it uses more digits than its factorization.

14027328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14027328000 in words is "fourteen billion, twenty-seven million, three hundred twenty-eight thousand".