4223808000 has 240 divisors, whose sum is σ = 15215439096. Its totient is φ = 1126195200.

The previous prime is 4223807969. The next prime is 4223808019. The reversal of 4223808000 is 8083224.

It can be written as a sum of positive squares in 4 ways, for example, as 203233536 + 4020574464 = 14256^2 + 63408^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572334 + ... + 579666.

Almost surely, 2^4223808000 is an apocalyptic number.

4223808000 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 4223808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607719548).

4223808000 is an abundant number, since it is smaller than the sum of its proper divisors (10991631096).

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

4223808000 is an equidigital number, since it uses as much as digits as its factorization.

4223808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4223808000 is about 64990.8301224103. The cubic root of 4223808000 is about 1616.4715155140.

The spelling of 4223808000 in words is "four billion, two hundred twenty-three million, eight hundred eight thousand".