4005144 has 96 divisors (see below), whose sum is σ = 12776400. Its totient is φ = 1117440.

The previous prime is 4005137. The next prime is 4005173. The reversal of 4005144 is 4415004.

4005144 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 (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10102 + ... + 10490.

Almost surely, 2^4005144 is an apocalyptic number.

4005144 is a gapful number since it is divisible by the number (44) 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 4005144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388200).

4005144 is an abundant number, since it is smaller than the sum of its proper divisors (8771256).

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

4005144 is a wasteful number, since it uses less digits than its factorization.

4005144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4005144 is about 2001.2855868166. The cubic root of 4005144 is about 158.8081226401.

The spelling of 4005144 in words is "four million, five thousand, one hundred forty-four".