2014400120 has 32 divisors (see below), whose sum is σ = 4553899920. Its totient is φ = 801937920.

The previous prime is 2014400107. The next prime is 2014400153. The reversal of 2014400120 is 210044102.

It is a junction number, because it is equal to n+sod(n) for n = 2014400095 and 2014400104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110897 + ... + 127776.

Almost surely, 2^2014400120 is an apocalyptic number.

2014400120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014400120 is an abundant number, since it is smaller than the sum of its proper divisors (2539499800).

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

2014400120 is a wasteful number, since it uses less digits than its factorization.

2014400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238895 (or 238891 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2014400120 is about 44882.0690253914. The cubic root of 2014400120 is about 1262.9376572375.

Adding to 2014400120 its reverse (210044102), we get a palindrome (2224444222).

The spelling of 2014400120 in words is "two billion, fourteen million, four hundred thousand, one hundred twenty".