14433920000 has 220 divisors, whose sum is σ = 37985278320. Its totient is φ = 5465088000.

The previous prime is 14433919909. The next prime is 14433920021. The reversal of 14433920000 is 2933441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12159407 + ... + 12160593.

It is an arithmetic number, because the mean of its divisors is an integer number (172660356).

Almost surely, 2^14433920000 is an apocalyptic number.

14433920000 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 14433920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992639160).

14433920000 is an abundant number, since it is smaller than the sum of its proper divisors (23551358320).

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

14433920000 is an equidigital number, since it uses as much as digits as its factorization.

14433920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 14433920000 in words is "fourteen billion, four hundred thirty-three million, nine hundred twenty thousand".