14401564160 has 80 divisors (see below), whose sum is σ = 34559395200. Its totient is φ = 5755723776.

The previous prime is 14401564153. The next prime is 14401564213. The reversal of 14401564160 is 6146510441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5295281 + ... + 5297999.

It is an arithmetic number, because the mean of its divisors is an integer number (431992440).

Almost surely, 2^14401564160 is an apocalyptic number.

14401564160 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 14401564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279697600).

14401564160 is an abundant number, since it is smaller than the sum of its proper divisors (20157831040).

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

14401564160 is an equidigital number, since it uses as much as digits as its factorization.

14401564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 14401564160 in words is "fourteen billion, four hundred one million, five hundred sixty-four thousand, one hundred sixty".