4144320 has 84 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 1104384.

The previous prime is 4144307. The next prime is 4144331. The reversal of 4144320 is 234414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4144293 and 4144302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2161 + ... + 3599.

Almost surely, 2^4144320 is an apocalyptic number.

4144320 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 4144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

4144320 is an abundant number, since it is smaller than the sum of its proper divisors (10120320).

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

4144320 is a wasteful number, since it uses less digits than its factorization.

4144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4144320 is about 2035.7603002318. The cubic root of 4144320 is about 160.6267086880.

Adding to 4144320 its reverse (234414), we get a palindrome (4378734).

The spelling of 4144320 in words is "four million, one hundred forty-four thousand, three hundred twenty".