4114320 has 160 divisors (see below), whose sum is σ = 15237120. Its totient is φ = 898560.

The previous prime is 4114307. The next prime is 4114321. The reversal of 4114320 is 234114.

4114320 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

4114320 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 4114320.

It is not an unprimeable number, because it can be changed into a prime (4114321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52041 + ... + 52119.

It is an arithmetic number, because the mean of its divisors is an integer number (95232).

Almost surely, 2^4114320 is an apocalyptic number.

4114320 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 4114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618560).

4114320 is an abundant number, since it is smaller than the sum of its proper divisors (11122800).

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

4114320 is a wasteful number, since it uses less digits than its factorization.

4114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4114320 is about 2028.3786628734. The cubic root of 4114320 is about 160.2381869094.

Adding to 4114320 its reverse (234114), we get a palindrome (4348434).

The spelling of 4114320 in words is "four million, one hundred fourteen thousand, three hundred twenty".