4420224000 has 352 divisors, whose sum is σ = 16349798400. Its totient is φ = 1177804800.

The previous prime is 4420223999. The next prime is 4420224023. The reversal of 4420224000 is 4220244.

4420224000 is a `hidden beast` number, since 4 + 420 + 2 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3455361 + ... + 3456639.

Almost surely, 2^4420224000 is an apocalyptic number.

4420224000 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 4420224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174899200).

4420224000 is an abundant number, since it is smaller than the sum of its proper divisors (11929574400).

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

4420224000 is a wasteful number, since it uses less digits than its factorization.

4420224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4420224000 is about 66484.7651721806. The cubic root of 4420224000 is about 1641.1493034481.

Adding to 4420224000 its reverse (4220244), we get a palindrome (4424444244).

The spelling of 4420224000 in words is "four billion, four hundred twenty million, two hundred twenty-four thousand".