4224124000 has 96 divisors (see below), whose sum is σ = 10399989600. Its totient is φ = 1686182400.

The previous prime is 4224123991. The next prime is 4224124007. The reversal of 4224124000 is 4214224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224124007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955286 + ... + 2956714.

It is an arithmetic number, because the mean of its divisors is an integer number (108333225).

Almost surely, 2^4224124000 is an apocalyptic number.

4224124000 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 4224124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199994800).

4224124000 is an abundant number, since it is smaller than the sum of its proper divisors (6175865600).

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

4224124000 is a wasteful number, since it uses less digits than its factorization.

4224124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4224124000 is about 64993.2611891418. The cubic root of 4224124000 is about 1616.5118260790.

Adding to 4224124000 its reverse (4214224), we get a palindrome (4228338224).

The spelling of 4224124000 in words is "four billion, two hundred twenty-four million, one hundred twenty-four thousand".