4224442000 has 80 divisors (see below), whose sum is σ = 10314375552. Its totient is φ = 1673289600.

The previous prime is 4224441983. The next prime is 4224442003. The reversal of 4224442000 is 2444224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4224442000² = 35691820422728000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4224442003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195747 + ... + 216253.

Almost surely, 2^4224442000 is an apocalyptic number.

4224442000 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 4224442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157187776).

4224442000 is an abundant number, since it is smaller than the sum of its proper divisors (6089933552).

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

4224442000 is a wasteful number, since it uses less digits than its factorization.

4224442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20633 (or 20617 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4224442000 is about 64995.7075505760. The cubic root of 4224442000 is about 1616.5523897447.

Adding to 4224442000 its reverse (2444224), we get a palindrome (4226886224).

It can be divided in two parts, 4224 and 442000, that added together give a square (446224 = 668²).

The spelling of 4224442000 in words is "four billion, two hundred twenty-four million, four hundred forty-two thousand".