410114120 has 96 divisors (see below), whose sum is σ = 1056018600. Its totient is φ = 142467072.

The previous prime is 410114119. The next prime is 410114167. The reversal of 410114120 is 21411014.

It can be written as a sum of positive squares in 12 ways, for example, as 177795556 + 232318564 = 13334^2 + 15242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 410114095 and 410114104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148916 + ... + 151644.

Almost surely, 2^410114120 is an apocalyptic number.

410114120 is a gapful number since it is divisible by the number (40) 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 410114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528009300).

410114120 is an abundant number, since it is smaller than the sum of its proper divisors (645904480).

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

410114120 is a wasteful number, since it uses less digits than its factorization.

410114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2766 counting only the distinct ones).

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

The square root of 410114120 is about 20251.2745277921. The cubic root of 410114120 is about 742.9648039932.

Adding to 410114120 its reverse (21411014), we get a palindrome (431525134).

The spelling of 410114120 in words is "four hundred ten million, one hundred fourteen thousand, one hundred twenty".