14283841320 has 768 divisors, whose sum is σ = 59609571840. Its totient is φ = 3001909248.

The previous prime is 14283841309. The next prime is 14283841321. The reversal of 14283841320 is 2314838241.

It is a happy number.

14283841320 is a `hidden beast` number, since 14 + 283 + 8 + 41 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14283841321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61303924 + ... + 61304156.

It is an arithmetic number, because the mean of its divisors is an integer number (77616630).

Almost surely, 2^14283841320 is an apocalyptic number.

14283841320 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 14283841320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29804785920).

14283841320 is an abundant number, since it is smaller than the sum of its proper divisors (45325730520).

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

14283841320 is a wasteful number, since it uses less digits than its factorization.

14283841320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14283841320 in words is "fourteen billion, two hundred eighty-three million, eight hundred forty-one thousand, three hundred twenty".