14240828160 has 576 divisors, whose sum is σ = 56350627200. Its totient is φ = 3381460992.

The previous prime is 14240828123. The next prime is 14240828179. The reversal of 14240828160 is 6182804241.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13028574 + ... + 13029666.

It is an arithmetic number, because the mean of its divisors is an integer number (97830950).

Almost surely, 2^14240828160 is an apocalyptic number.

14240828160 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 14240828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28175313600).

14240828160 is an abundant number, since it is smaller than the sum of its proper divisors (42109799040).

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

14240828160 is a wasteful number, since it uses less digits than its factorization.

14240828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14240828160 in words is "fourteen billion, two hundred forty million, eight hundred twenty-eight thousand, one hundred sixty".