14130385920 has 528 divisors, whose sum is σ = 56835986688. Its totient is φ = 3179151360.

The previous prime is 14130385903. The next prime is 14130385921. The reversal of 14130385920 is 2958303141.

14130385920 is a `hidden beast` number, since 1 + 4 + 1 + 30 + 38 + 592 + 0 = 666.

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 (14130385921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22901452 + ... + 22902068.

Almost surely, 2^14130385920 is an apocalyptic number.

14130385920 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 14130385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28417993344).

14130385920 is an abundant number, since it is smaller than the sum of its proper divisors (42705600768).

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

14130385920 is a wasteful number, since it uses less digits than its factorization.

14130385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14130385920 in words is "fourteen billion, one hundred thirty million, three hundred eighty-five thousand, nine hundred twenty".