44144144 has 80 divisors (see below), whose sum is σ = 100826880. Its totient is φ = 18506880.

The previous prime is 44144143. The next prime is 44144147.

44144144 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (44144141) 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, 143639 + ... + 143945.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^44144144 is an apocalyptic number.

44144144 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 44144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50413440).

44144144 is an abundant number, since it is smaller than the sum of its proper divisors (56682736).

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

44144144 is a wasteful number, since it uses less digits than its factorization.

44144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 44144144 is about 6644.1059594200. The cubic root of 44144144 is about 353.4199273540.

It can be divided in two parts, 4414 and 4144, that added together give a palindrome (8558).

The spelling of 44144144 in words is "forty-four million, one hundred forty-four thousand, one hundred forty-four".