44214144 has 128 divisors (see below), whose sum is σ = 134174880. Its totient is φ = 12779520.

The previous prime is 44214143. The next prime is 44214151. The reversal of 44214144 is 44141244.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44214143) 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, 84604 + ... + 85124.

Almost surely, 2^44214144 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 44214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67087440).

44214144 is an abundant number, since it is smaller than the sum of its proper divisors (89960736).

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

44214144 is a wasteful number, since it uses less digits than its factorization.

44214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 44214144 is about 6649.3716996420. The cubic root of 44214144 is about 353.6066363762.

Adding to 44214144 its reverse (44141244), we get a palindrome (88355388).

Subtracting from 44214144 its reverse (44141244), we obtain a square (72900 = 270²).

The spelling of 44214144 in words is "forty-four million, two hundred fourteen thousand, one hundred forty-four".