4000144 has 40 divisors (see below), whose sum is σ = 8269560. Its totient is φ = 1870848.

The previous prime is 4000133. The next prime is 4000153. The reversal of 4000144 is 4410004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 3168400 = 912^2 + 1780^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17052 + ... + 17284.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

Almost surely, 2^4000144 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 4000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780).

4000144 is an abundant number, since it is smaller than the sum of its proper divisors (4269416).

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

4000144 is a wasteful number, since it uses less digits than its factorization.

4000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4000144 is about 2000.0359996760. The cubic root of 4000144 is about 158.7420100552.

Adding to 4000144 its reverse (4410004), we get a palindrome (8410148).

The spelling of 4000144 in words is "four million, one hundred forty-four", and thus it is an aban number.