14002042120 has 128 divisors (see below), whose sum is σ = 35927712000. Its totient is φ = 4861486080.

The previous prime is 14002042099. The next prime is 14002042133. The reversal of 14002042120 is 2124020041.

It is a junction number, because it is equal to n+sod(n) for n = 14002042094 and 14002042103.

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 31 ways as a sum of consecutive naturals, for example, 8388646 + ... + 8390314.

It is an arithmetic number, because the mean of its divisors is an integer number (280685250).

Almost surely, 2^14002042120 is an apocalyptic number.

14002042120 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 14002042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17963856000).

14002042120 is an abundant number, since it is smaller than the sum of its proper divisors (21925669880).

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

14002042120 is a wasteful number, since it uses less digits than its factorization.

14002042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14002042120 its reverse (2124020041), we get a palindrome (16126062161).

The spelling of 14002042120 in words is "fourteen billion, two million, forty-two thousand, one hundred twenty".