14156107920 has 120 divisors (see below), whose sum is σ = 47647899000. Its totient is φ = 3766468608.

The previous prime is 14156107897. The next prime is 14156107993. The reversal of 14156107920 is 2970165141.

14156107920 is a `hidden beast` number, since 1 + 4 + 1 + 561 + 0 + 7 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4101633936 + 10054473984 = 64044^2 + 100272^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301386 + ... + 345174.

It is an arithmetic number, because the mean of its divisors is an integer number (397065825).

Almost surely, 2^14156107920 is an apocalyptic number.

14156107920 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 14156107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23823949500).

14156107920 is an abundant number, since it is smaller than the sum of its proper divisors (33491791080).

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

14156107920 is a wasteful number, since it uses less digits than its factorization.

14156107920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44257 (or 44248 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 14156107920 in words is "fourteen billion, one hundred fifty-six million, one hundred seven thousand, nine hundred twenty".