14261644320 has 384 divisors, whose sum is σ = 56696371200. Its totient is φ = 2927124480.

The previous prime is 14261644291. The next prime is 14261644361. The reversal of 14261644320 is 2344616241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3065356 + ... + 3070004.

It is an arithmetic number, because the mean of its divisors is an integer number (147646800).

Almost surely, 2^14261644320 is an apocalyptic number.

14261644320 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 14261644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28348185600).

14261644320 is an abundant number, since it is smaller than the sum of its proper divisors (42434726880).

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

14261644320 is a wasteful number, since it uses less digits than its factorization.

14261644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 14261644320 in words is "fourteen billion, two hundred sixty-one million, six hundred forty-four thousand, three hundred twenty".