4002144 has 48 divisors (see below), whose sum is σ = 10741248. Its totient is φ = 1304192.

The previous prime is 4002143. The next prime is 4002169. The reversal of 4002144 is 4412004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002143) 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, 4069 + ... + 4955.

It is an arithmetic number, because the mean of its divisors is an integer number (223776).

Almost surely, 2^4002144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370624).

4002144 is an abundant number, since it is smaller than the sum of its proper divisors (6739104).

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

4002144 is a wasteful number, since it uses less digits than its factorization.

4002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4002144 is about 2000.5359281952. The cubic root of 4002144 is about 158.7684616965.

Adding to 4002144 its reverse (4412004), we get a palindrome (8414148).

The spelling of 4002144 in words is "four million, two thousand, one hundred forty-four".