4022224000 has 256 divisors, whose sum is σ = 10711958400. Its totient is φ = 1497600000.

The previous prime is 4022223983. The next prime is 4022224099. The reversal of 4022224000 is 4222204.

4022224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30703935 + ... + 30704065.

Almost surely, 2^4022224000 is an apocalyptic number.

4022224000 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 4022224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355979200).

4022224000 is an abundant number, since it is smaller than the sum of its proper divisors (6689734400).

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

4022224000 is a wasteful number, since it uses less digits than its factorization.

4022224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4022224000 is about 63421.0059838221. The cubic root of 4022224000 is about 1590.3354908270.

Adding to 4022224000 its reverse (4222204), we get a palindrome (4026446204).

The spelling of 4022224000 in words is "four billion, twenty-two million, two hundred twenty-four thousand".