14310138960 has 480 divisors, whose sum is σ = 55278961920. Its totient is φ = 3286351872.

The previous prime is 14310138959. The next prime is 14310138961. The reversal of 14310138960 is 6983101341.

14310138960 is a `hidden beast` number, since 1 + 431 + 0 + 138 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14310138959) and next prime (14310138961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14310138961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22117357 + ... + 22118003.

It is an arithmetic number, because the mean of its divisors is an integer number (115164504).

Almost surely, 2^14310138960 is an apocalyptic number.

14310138960 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 14310138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27639480960).

14310138960 is an abundant number, since it is smaller than the sum of its proper divisors (40968822960).

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

14310138960 is a wasteful number, since it uses less digits than its factorization.

14310138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14310138960 in words is "fourteen billion, three hundred ten million, one hundred thirty-eight thousand, nine hundred sixty".