14434713413800 has 48 divisors (see below), whose sum is σ = 33564693240000. Its totient is φ = 5773199851200.

The previous prime is 14434713413741. The next prime is 14434713413839. The reversal of 14434713413800 is 831431743441.

14434713413800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2594050 + ... + 5966449.

It is an arithmetic number, because the mean of its divisors is an integer number (699264442500).

Almost surely, 2^{14434713413800} is an apocalyptic number.

14434713413800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434713413800 is an abundant number, since it is smaller than the sum of its proper divisors (19129979826200).

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

14434713413800 is a wasteful number, since it uses less digits than its factorization.

14434713413800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568946 (or 8568937 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 14434713413800 in words is "fourteen trillion, four hundred thirty-four billion, seven hundred thirteen million, four hundred thirteen thousand, eight hundred".