14042442672 has 120 divisors (see below), whose sum is σ = 40233585600. Its totient is φ = 4570030080.

The previous prime is 14042442581. The next prime is 14042442679. The reversal of 14042442672 is 27624424041.

14042442672 is a `hidden beast` number, since 1 + 404 + 244 + 2 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14042442679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3036522 + ... + 3041142.

It is an arithmetic number, because the mean of its divisors is an integer number (335279880).

Almost surely, 2^14042442672 is an apocalyptic number.

14042442672 is a gapful number since it is divisible by the number (12) 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 14042442672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116792800).

14042442672 is an abundant number, since it is smaller than the sum of its proper divisors (26191142928).

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

14042442672 is a wasteful number, since it uses less digits than its factorization.

14042442672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 14042442672 in words is "fourteen billion, forty-two million, four hundred forty-two thousand, six hundred seventy-two".