14329627300480 has 128 divisors (see below), whose sum is σ = 34649744025600. Its totient is φ = 5666127667200.

The previous prime is 14329627300477. The next prime is 14329627300501. The reversal of 14329627300480 is 8400372692341.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 265577505 + ... + 265631455.

It is an arithmetic number, because the mean of its divisors is an integer number (270701125200).

Almost surely, 2^{14329627300480} is an apocalyptic number.

14329627300480 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 14329627300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17324872012800).

14329627300480 is an abundant number, since it is smaller than the sum of its proper divisors (20320116725120).

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

14329627300480 is an equidigital number, since it uses as much as digits as its factorization.

14329627300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58722 (or 58710 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 14329627300480 in words is "fourteen trillion, three hundred twenty-nine billion, six hundred twenty-seven million, three hundred thousand, four hundred eighty".