14140504320 has 144 divisors (see below), whose sum is σ = 45492572160. Its totient is φ = 3743137792.

The previous prime is 14140504253. The next prime is 14140504327. The reversal of 14140504320 is 2340504141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14140504327) 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, 512641 + ... + 539519.

It is an arithmetic number, because the mean of its divisors is an integer number (315920640).

Almost surely, 2^14140504320 is an apocalyptic number.

14140504320 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 14140504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22746286080).

14140504320 is an abundant number, since it is smaller than the sum of its proper divisors (31352067840).

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

14140504320 is a wasteful number, since it uses less digits than its factorization.

14140504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27040 (or 27026 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 14140504320 in words is "fourteen billion, one hundred forty million, five hundred four thousand, three hundred twenty".