4424221440 has 864 divisors, whose sum is σ = 18079588800. Its totient is φ = 990904320.

The previous prime is 4424221427. The next prime is 4424221441. The reversal of 4424221440 is 441224244.

4424221440 is a `hidden beast` number, since 442 + 4 + 2 + 214 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424221441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 107907820 + ... + 107907860.

It is an arithmetic number, because the mean of its divisors is an integer number (20925450).

Almost surely, 2^4424221440 is an apocalyptic number.

4424221440 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 4424221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039794400).

4424221440 is an abundant number, since it is smaller than the sum of its proper divisors (13655367360).

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

4424221440 is a wasteful number, since it uses less digits than its factorization.

4424221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

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

The square root of 4424221440 is about 66514.8212055028. The cubic root of 4424221440 is about 1641.6438801353.

Adding to 4424221440 its reverse (441224244), we get a palindrome (4865445684).

The spelling of 4424221440 in words is "four billion, four hundred twenty-four million, two hundred twenty-one thousand, four hundred forty".