4164144 has 20 divisors (see below), whose sum is σ = 10757496. Its totient is φ = 1388032.

The previous prime is 4164131. The next prime is 4164179. The reversal of 4164144 is 4414614.

4164144 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 (24).

It is a nude number because it is divisible by every one of its digits.

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 3 ways as a sum of consecutive naturals, for example, 43329 + ... + 43424.

Almost surely, 2^4164144 is an apocalyptic number.

It is an amenable number.

4164144 is an abundant number, since it is smaller than the sum of its proper divisors (6593352).

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

4164144 is a wasteful number, since it uses less digits than its factorization.

4164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86764 (or 86758 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4164144 is about 2040.6234341495. The cubic root of 4164144 is about 160.8824161064.

Adding to 4164144 its reverse (4414614), we get a palindrome (8578758).

It can be divided in two parts, 416 and 4144, that added together give a triangular number (4560 = T₉₅).

The spelling of 4164144 in words is "four million, one hundred sixty-four thousand, one hundred forty-four".