14131330560 has 360 divisors, whose sum is σ = 51682573800. Its totient is φ = 3567919104.

The previous prime is 14131330537. The next prime is 14131330567. The reversal of 14131330560 is 6503313141.

14131330560 is a `hidden beast` number, since 1 + 41 + 31 + 3 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131330567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8316591 + ... + 8318289.

It is an arithmetic number, because the mean of its divisors is an integer number (143562705).

Almost surely, 2^14131330560 is an apocalyptic number.

14131330560 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 14131330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25841286900).

14131330560 is an abundant number, since it is smaller than the sum of its proper divisors (37551243240).

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

14131330560 is a wasteful number, since it uses less digits than its factorization.

14131330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 14131330560 in words is "fourteen billion, one hundred thirty-one million, three hundred thirty thousand, five hundred sixty".