14380815280 has 80 divisors (see below), whose sum is σ = 36165185280. Its totient is φ = 5286564864.

The previous prime is 14380815263. The next prime is 14380815289. The reversal of 14380815280 is 8251808341.

14380815280 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 a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14380815289) by changing a digit.

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, 207969 + ... + 268351.

It is an arithmetic number, because the mean of its divisors is an integer number (452064816).

Almost surely, 2^14380815280 is an apocalyptic number.

14380815280 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 14380815280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082592640).

14380815280 is an abundant number, since it is smaller than the sum of its proper divisors (21784370000).

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

14380815280 is a wasteful number, since it uses less digits than its factorization.

14380815280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60638 (or 60632 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 14380815280 in words is "fourteen billion, three hundred eighty million, eight hundred fifteen thousand, two hundred eighty".