4414114144 has 48 divisors (see below), whose sum is σ = 9543211776. Its totient is φ = 1993104000.

The previous prime is 4414114139. The next prime is 4414114213.

It is a happy number.

4414114144 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11629 + ... + 94675.

It is an arithmetic number, because the mean of its divisors is an integer number (198816912).

Almost surely, 2^4414114144 is an apocalyptic number.

4414114144 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 4414114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771605888).

4414114144 is an abundant number, since it is smaller than the sum of its proper divisors (5129097632).

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

4414114144 is a wasteful number, since it uses less digits than its factorization.

4414114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83219 (or 83211 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 4414114144 is about 66438.7999891630. The cubic root of 4414114144 is about 1640.3927950677.

It can be divided in two parts, 44141 and 14144, that added together give a palindrome (58285).

The spelling of 4414114144 in words is "four billion, four hundred fourteen million, one hundred fourteen thousand, one hundred forty-four".