14109920320 has 112 divisors (see below), whose sum is σ = 35103011328. Its totient is φ = 5395783680.

The previous prime is 14109920273. The next prime is 14109920327. The reversal of 14109920320 is 2302990141.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (14109920327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814792 + ... + 831928.

It is an arithmetic number, because the mean of its divisors is an integer number (313419744).

Almost surely, 2^14109920320 is an apocalyptic number.

14109920320 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 14109920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17551505664).

14109920320 is an abundant number, since it is smaller than the sum of its proper divisors (20993091008).

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

14109920320 is a wasteful number, since it uses less digits than its factorization.

14109920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17268 (or 17258 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 14109920320 in words is "fourteen billion, one hundred nine million, nine hundred twenty thousand, three hundred twenty".