4224024000 has 1008 divisors, whose sum is σ = 18976726080. Its totient is φ = 877363200.

The previous prime is 4224023963. The next prime is 4224024011. The reversal of 4224024000 is 4204224.

4224024000 is a `hidden beast` number, since 422 + 4 + 0 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 145655986 + ... + 145656014.

Almost surely, 2^4224024000 is an apocalyptic number.

4224024000 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 4224024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9488363040).

4224024000 is an abundant number, since it is smaller than the sum of its proper divisors (14752702080).

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

4224024000 is a wasteful number, since it uses less digits than its factorization.

4224024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

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

The square root of 4224024000 is about 64992.4918740619. The cubic root of 4224024000 is about 1616.4990697885.

Adding to 4224024000 its reverse (4204224), we get a palindrome (4228228224).

The spelling of 4224024000 in words is "four billion, two hundred twenty-four million, twenty-four thousand".