14281540224 has 128 divisors (see below), whose sum is σ = 43403268480. Its totient is φ = 4075868160.

The previous prime is 14281540199. The next prime is 14281540261. The reversal of 14281540224 is 42204518241.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2935554 + ... + 2940414.

It is an arithmetic number, because the mean of its divisors is an integer number (339088035).

Almost surely, 2^14281540224 is an apocalyptic number.

14281540224 is a gapful number since it is divisible by the number (14) 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 14281540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21701634240).

14281540224 is an abundant number, since it is smaller than the sum of its proper divisors (29121728256).

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

14281540224 is a wasteful number, since it uses less digits than its factorization.

14281540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 14281540224 in words is "fourteen billion, two hundred eighty-one million, five hundred forty thousand, two hundred twenty-four".