14110400120 has 64 divisors (see below), whose sum is σ = 32694282720. Its totient is φ = 5477681664.

The previous prime is 14110400119. The next prime is 14110400149. The reversal of 14110400120 is 2100401141.

14110400120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14110400095 and 14110400104.

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, 243914 + ... + 296166.

Almost surely, 2^14110400120 is an apocalyptic number.

14110400120 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 14110400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16347141360).

14110400120 is an abundant number, since it is smaller than the sum of its proper divisors (18583882600).

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

14110400120 is a wasteful number, since it uses less digits than its factorization.

14110400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52464 (or 52460 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 14110400120 its reverse (2100401141), we get a palindrome (16210801261).

The spelling of 14110400120 in words is "fourteen billion, one hundred ten million, four hundred thousand, one hundred twenty".