4414311444 has 48 divisors (see below), whose sum is σ = 10668611520. Its totient is φ = 1420603744.

The previous prime is 4414311431. The next prime is 4414311457. The reversal of 4414311444 is 4441134144.

It is an interprime number because it is at equal distance from previous prime (4414311431) and next prime (4414311457).

It is a super-2 number, since 2×4414311444² = 38972291049258730272, which contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285127 + ... + 300209.

It is an arithmetic number, because the mean of its divisors is an integer number (222262740).

Almost surely, 2^4414311444 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 4414311444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334305760).

4414311444 is an abundant number, since it is smaller than the sum of its proper divisors (6254300076).

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

4414311444 is a wasteful number, since it uses less digits than its factorization.

4414311444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15177 (or 15117 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 4414311444 is about 66440.2847977039. The cubic root of 4414311444 is about 1640.4172352057.

Adding to 4414311444 its reverse (4441134144), we get a palindrome (8855445588).

The spelling of 4414311444 in words is "four billion, four hundred fourteen million, three hundred eleven thousand, four hundred forty-four".