4414224144 has 160 divisors (see below), whose sum is σ = 12748005504. Its totient is φ = 1304842240.

The previous prime is 4414224107. The next prime is 4414224149.

4414224144 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 (4414224149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6519934 + ... + 6520610.

Almost surely, 2^4414224144 is an apocalyptic number.

4414224144 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 4414224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374002752).

4414224144 is an abundant number, since it is smaller than the sum of its proper divisors (8333781360).

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

4414224144 is a wasteful number, since it uses less digits than its factorization.

4414224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 979 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 4414224144 is about 66439.6278135271. The cubic root of 4414224144 is about 1640.4064211848.

It can be divided in two parts, 44142 and 24144, that added together give a palindrome (68286).

The spelling of 4414224144 in words is "four billion, four hundred fourteen million, two hundred twenty-four thousand, one hundred forty-four".