14128732800 has 960 divisors, whose sum is σ = 64277136000. Its totient is φ = 2976030720.

The previous prime is 14128732777. The next prime is 14128732819. The reversal of 14128732800 is 823782141.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23586901 + ... + 23587499.

It is an arithmetic number, because the mean of its divisors is an integer number (66955350).

Almost surely, 2^14128732800 is an apocalyptic number.

14128732800 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 14128732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32138568000).

14128732800 is an abundant number, since it is smaller than the sum of its proper divisors (50148403200).

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

14128732800 is a wasteful number, since it uses less digits than its factorization.

14128732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14128732800 in words is "fourteen billion, one hundred twenty-eight million, seven hundred thirty-two thousand, eight hundred".