14433427120 has 80 divisors (see below), whose sum is σ = 38468037888. Its totient is φ = 4933589760.

The previous prime is 14433427117. The next prime is 14433427163. The reversal of 14433427120 is 2172433441.

14433427120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146427 + ... + 224293.

Almost surely, 2^14433427120 is an apocalyptic number.

14433427120 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 14433427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234018944).

14433427120 is an abundant number, since it is smaller than the sum of its proper divisors (24034610768).

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

14433427120 is a wasteful number, since it uses less digits than its factorization.

14433427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78218 (or 78212 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 14433427120 in words is "fourteen billion, four hundred thirty-three million, four hundred twenty-seven thousand, one hundred twenty".