4220442440 has 64 divisors (see below), whose sum is σ = 10192437360. Its totient is φ = 1567088640.

The previous prime is 4220442439. The next prime is 4220442451. The reversal of 4220442440 is 442440224.

It can be written as a sum of positive squares in 8 ways, for example, as 2284266436 + 1936176004 = 47794^2 + 44002^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7130 + ... + 92150.

Almost surely, 2^4220442440 is an apocalyptic number.

4220442440 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 4220442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096218680).

4220442440 is an abundant number, since it is smaller than the sum of its proper divisors (5971994920).

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

4220442440 is a wasteful number, since it uses less digits than its factorization.

4220442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85122 (or 85118 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4220442440 is about 64964.9323866346. The cubic root of 4220442440 is about 1616.0420627959.

Adding to 4220442440 its reverse (442440224), we get a palindrome (4662882664).

The spelling of 4220442440 in words is "four billion, two hundred twenty million, four hundred forty-two thousand, four hundred forty".