14442756000 has 192 divisors, whose sum is σ = 47737662336. Its totient is φ = 3816960000.

The previous prime is 14442755939. The next prime is 14442756017. The reversal of 14442756000 is 65724441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350675 + ... + 1361325.

It is an arithmetic number, because the mean of its divisors is an integer number (248633658).

Almost surely, 2^14442756000 is an apocalyptic number.

14442756000 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 14442756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868831168).

14442756000 is an abundant number, since it is smaller than the sum of its proper divisors (33294906336).

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

14442756000 is a wasteful number, since it uses less digits than its factorization.

14442756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10792 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 14442756000 in words is "fourteen billion, four hundred forty-two million, seven hundred fifty-six thousand".