44144000 has 128 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 16896000.

The previous prime is 44143961. The next prime is 44144029. The reversal of 44144000 is 44144.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 44144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495956 + ... + 496044.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^44144000 is an apocalyptic number.

44144000 is a gapful number since it is divisible by the number (40) 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 44144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

44144000 is an abundant number, since it is smaller than the sum of its proper divisors (70422400).

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

44144000 is an equidigital number, since it uses as much as digits as its factorization.

44144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 44144000 is about 6644.0951227387. The cubic root of 44144000 is about 353.4195430635.

Adding to 44144000 its reverse (44144), we get a palindrome (44188144).

44144000 divided by its reverse (44144) gives a cube (1000 = 10³).

The spelling of 44144000 in words is "forty-four million, one hundred forty-four thousand".