4220024000 has 112 divisors (see below), whose sum is σ = 10570098240. Its totient is φ = 1668761600.

The previous prime is 4220023991. The next prime is 4220024023. The reversal of 4220024000 is 4200224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709037 + ... + 714963.

Almost surely, 2^4220024000 is an apocalyptic number.

4220024000 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 4220024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285049120).

4220024000 is an abundant number, since it is smaller than the sum of its proper divisors (6350074240).

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

4220024000 is an equidigital number, since it uses as much as digits as its factorization.

4220024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043 (or 6023 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4220024000 is about 64961.7118001058. The cubic root of 4220024000 is about 1615.9886529936.

Adding to 4220024000 its reverse (4200224), we get a palindrome (4224224224).

The spelling of 4220024000 in words is "four billion, two hundred twenty million, twenty-four thousand".