4102224000 has 512 divisors, whose sum is σ = 16115673600. Its totient is φ = 903168000.

The previous prime is 4102223989. The next prime is 4102224019. The reversal of 4102224000 is 4222014.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 9743790 + ... + 9744210.

It is an arithmetic number, because the mean of its divisors is an integer number (31475925).

Almost surely, 2^4102224000 is an apocalyptic number.

4102224000 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 4102224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057836800).

4102224000 is an abundant number, since it is smaller than the sum of its proper divisors (12013449600).

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

4102224000 is a wasteful number, since it uses less digits than its factorization.

4102224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4102224000 is about 64048.6065422192. The cubic root of 4102224000 is about 1600.8100065284.

Adding to 4102224000 its reverse (4222014), we get a palindrome (4106446014).

The spelling of 4102224000 in words is "four billion, one hundred two million, two hundred twenty-four thousand".