4008144 has 80 divisors (see below), whose sum is σ = 12062720. Its totient is φ = 1123200.

The previous prime is 4008143. The next prime is 4008149. The reversal of 4008144 is 4418004.

4008144 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4008144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26469 + ... + 26619.

It is an arithmetic number, because the mean of its divisors is an integer number (150784).

Almost surely, 2^4008144 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 4008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031360).

4008144 is an abundant number, since it is smaller than the sum of its proper divisors (8054576).

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

4008144 is a wasteful number, since it uses less digits than its factorization.

4008144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4008144 is about 2002.0349647296. The cubic root of 4008144 is about 158.8477637836.

The spelling of 4008144 in words is "four million, eight thousand, one hundred forty-four".