4224936000 has 224 divisors, whose sum is σ = 14017386240. Its totient is φ = 1121280000.

The previous prime is 4224935989. The next prime is 4224936017. The reversal of 4224936000 is 6394224.

4224936000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 9623781 + ... + 9624219.

Almost surely, 2^4224936000 is an apocalyptic number.

4224936000 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 4224936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7008693120).

4224936000 is an abundant number, since it is smaller than the sum of its proper divisors (9792450240).

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

4224936000 is a wasteful number, since it uses less digits than its factorization.

4224936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4224936000 is about 64999.5076904433. The cubic root of 4224936000 is about 1616.6153997040.

The spelling of 4224936000 in words is "four billion, two hundred twenty-four million, nine hundred thirty-six thousand".