44006144 has 72 divisors (see below), whose sum is σ = 108168480. Its totient is φ = 17399808.

The previous prime is 44006129. The next prime is 44006177. The reversal of 44006144 is 44160044.

44006144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22352 + ... + 24240.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340).

Almost surely, 2^44006144 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 44006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54084240).

44006144 is an abundant number, since it is smaller than the sum of its proper divisors (64162336).

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

44006144 is a wasteful number, since it uses less digits than its factorization.

44006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 44006144 is about 6633.7126859701. The cubic root of 44006144 is about 353.0512649346.

Adding to 44006144 its reverse (44160044), we get a palindrome (88166188).

The spelling of 44006144 in words is "forty-four million, six thousand, one hundred forty-four".