4223856000 has 512 divisors, whose sum is σ = 17251153920. Its totient is φ = 890265600.

The previous prime is 4223855983. The next prime is 4223856011. The reversal of 4223856000 is 6583224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367517 + ... + 4368483.

It is an arithmetic number, because the mean of its divisors is an integer number (33693660).

Almost surely, 2^4223856000 is an apocalyptic number.

4223856000 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 4223856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625576960).

4223856000 is an abundant number, since it is smaller than the sum of its proper divisors (13027297920).

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

4223856000 is a wasteful number, since it uses less digits than its factorization.

4223856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4223856000 is about 64991.1994042270. The cubic root of 4223856000 is about 1616.4776387673.

The spelling of 4223856000 in words is "four billion, two hundred twenty-three million, eight hundred fifty-six thousand".