314014120 has 64 divisors (see below), whose sum is σ = 810270720. Its totient is φ = 107288064.

The previous prime is 314014111. The next prime is 314014133. The reversal of 314014120 is 21410413.

It is a junction number, because it is equal to n+sod(n) for n = 314014094 and 314014103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85849 + ... + 89431.

It is an arithmetic number, because the mean of its divisors is an integer number (12660480).

Almost surely, 2^314014120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405135360).

314014120 is an abundant number, since it is smaller than the sum of its proper divisors (496256600).

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

314014120 is a wasteful number, since it uses less digits than its factorization.

314014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3910 counting only the distinct ones).

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

The square root of 314014120 is about 17720.4435610399. The cubic root of 314014120 is about 679.6986265444.

Adding to 314014120 its reverse (21410413), we get a palindrome (335424533).

The spelling of 314014120 in words is "three hundred fourteen million, fourteen thousand, one hundred twenty".