4424041440 has 864 divisors, whose sum is σ = 19424059200. Its totient is φ = 915812352.

The previous prime is 4424041429. The next prime is 4424041441. The reversal of 4424041440 is 441404244.

4424041440 is a `hidden beast` number, since 4 + 4 + 240 + 414 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424041441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83472454 + ... + 83472506.

It is an arithmetic number, because the mean of its divisors is an integer number (22481550).

Almost surely, 2^4424041440 is an apocalyptic number.

4424041440 is a gapful number since it is divisible by the number (40) 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 4424041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9712029600).

4424041440 is an abundant number, since it is smaller than the sum of its proper divisors (15000017760).

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

4424041440 is a wasteful number, since it uses less digits than its factorization.

4424041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4424041440 is about 66513.4681098498. The cubic root of 4424041440 is about 1641.6216163381.

Adding to 4424041440 its reverse (441404244), we get a palindrome (4865445684).

The spelling of 4424041440 in words is "four billion, four hundred twenty-four million, forty-one thousand, four hundred forty".