14004103120 has 80 divisors (see below), whose sum is σ = 37841685120. Its totient is φ = 4720015872.

The previous prime is 14004103111. The next prime is 14004103171. The reversal of 14004103120 is 2130140041.

14004103120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14004103120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14004103094 and 14004103103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178887 + ... + 244966.

It is an arithmetic number, because the mean of its divisors is an integer number (473021064).

Almost surely, 2^14004103120 is an apocalyptic number.

14004103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004103120 is an abundant number, since it is smaller than the sum of its proper divisors (23837582000).

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

14004103120 is a wasteful number, since it uses less digits than its factorization.

14004103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423932 (or 423926 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14004103120 its reverse (2130140041), we get a palindrome (16134243161).

The spelling of 14004103120 in words is "fourteen billion, four million, one hundred three thousand, one hundred twenty".