14239800960000 has 1760 divisors, whose sum is σ = 60137985684480. Its totient is φ = 2908569600000.

The previous prime is 14239800959963. The next prime is 14239800960001. The reversal of 14239800960000 is 6900893241.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14239800960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9018239211 + ... + 9018240789.

It is an arithmetic number, because the mean of its divisors is an integer number (34169310048).

Almost surely, 2^{14239800960000} is an apocalyptic number.

14239800960000 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 14239800960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30068992842240).

14239800960000 is an abundant number, since it is smaller than the sum of its proper divisors (45898184724480).

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

14239800960000 is a wasteful number, since it uses less digits than its factorization.

14239800960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 14239800960000 in words is "fourteen trillion, two hundred thirty-nine billion, eight hundred million, nine hundred sixty thousand".