4144160 has 48 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1625856.

The previous prime is 4144159. The next prime is 4144177. The reversal of 4144160 is 614414.

It is a happy number.

4144160 is digitally balanced in base 2, 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 (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9221 + ... + 9659.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 2^4144160 is an apocalyptic number.

4144160 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 4144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

4144160 is an abundant number, since it is smaller than the sum of its proper divisors (5835040).

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

4144160 is a wasteful number, since it uses less digits than its factorization.

4144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4144160 is about 2035.7210024952. The cubic root of 4144160 is about 160.6246415532.

Adding to 4144160 its reverse (614414), we get a palindrome (4758574).

The spelling of 4144160 in words is "four million, one hundred forty-four thousand, one hundred sixty".