4115144 has 32 divisors (see below), whose sum is σ = 8519040. Its totient is φ = 1848000.

The previous prime is 4115141. The next prime is 4115147. The reversal of 4115144 is 4415114.

4115144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4115141) and next prime (4115147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8657 + ... + 9119.

It is an arithmetic number, because the mean of its divisors is an integer number (266220).

Almost surely, 2^4115144 is an apocalyptic number.

4115144 is a gapful number since it is divisible by the number (44) 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 4115144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259520).

4115144 is an abundant number, since it is smaller than the sum of its proper divisors (4403896).

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

4115144 is a wasteful number, since it uses less digits than its factorization.

4115144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 577 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 4115144 is about 2028.5817705974. The cubic root of 4115144 is about 160.2488834889.

It can be divided in two parts, 411 and 5144, that added together give a palindrome (5555).

The spelling of 4115144 in words is "four million, one hundred fifteen thousand, one hundred forty-four".