4416141344 has 48 divisors (see below), whose sum is σ = 9003052800. Its totient is φ = 2129804544.

The previous prime is 4416141337. The next prime is 4416141347. The reversal of 4416141344 is 4431416144.

It is a super-2 number, since 2×4416141344² = 39004608740372252672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4416141344.

It is not an unprimeable number, because it can be changed into a prime (4416141347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333739 + ... + 1337045.

It is an arithmetic number, because the mean of its divisors is an integer number (187563600).

Almost surely, 2^4416141344 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 4416141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501526400).

4416141344 is an abundant number, since it is smaller than the sum of its proper divisors (4586911456).

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

4416141344 is a wasteful number, since it uses less digits than its factorization.

4416141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4777 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 4416141344 is about 66454.0543834611. The cubic root of 4416141344 is about 1640.6438756717.

Adding to 4416141344 its reverse (4431416144), we get a palindrome (8847557488).

The spelling of 4416141344 in words is "four billion, four hundred sixteen million, one hundred forty-one thousand, three hundred forty-four".