14130616320 has 192 divisors, whose sum is σ = 50230908000. Its totient is φ = 3768090624.

The previous prime is 14130616301. The next prime is 14130616327. The reversal of 14130616320 is 2361603141.

14130616320 is a `hidden beast` number, since 1 + 4 + 13 + 0 + 616 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130616327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250926 + ... + 302034.

Almost surely, 2^14130616320 is an apocalyptic number.

14130616320 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 14130616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25115454000).

14130616320 is an abundant number, since it is smaller than the sum of its proper divisors (36100291680).

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

14130616320 is an equidigital number, since it uses as much as digits as its factorization.

14130616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51145 (or 51119 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 14130616320 in words is "fourteen billion, one hundred thirty million, six hundred sixteen thousand, three hundred twenty".