4224221440 has 72 divisors (see below), whose sum is σ = 10174790808. Its totient is φ = 1680261120.

The previous prime is 4224221429. The next prime is 4224221459. The reversal of 4224221440 is 441224224.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 4213567744 = 3264^2 + 64912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222564 + ... + 240796.

It is an arithmetic number, because the mean of its divisors is an integer number (141316539).

Almost surely, 2^4224221440 is an apocalyptic number.

4224221440 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 4224221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087395404).

4224221440 is an abundant number, since it is smaller than the sum of its proper divisors (5950569368).

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

4224221440 is a wasteful number, since it uses less digits than its factorization.

4224221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18435 (or 18421 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4224221440 is about 64994.0108009961. The cubic root of 4224221440 is about 1616.5242556148.

Adding to 4224221440 its reverse (441224224), we get a palindrome (4665445664).

The spelling of 4224221440 in words is "four billion, two hundred twenty-four million, two hundred twenty-one thousand, four hundred forty".