4221216600 has 192 divisors, whose sum is σ = 13352493600. Its totient is φ = 1102970880.

The previous prime is 4221216589. The next prime is 4221216613. The reversal of 4221216600 is 66121224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7315512 + ... + 7316088.

Almost surely, 2^4221216600 is an apocalyptic number.

4221216600 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 4221216600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676246800).

4221216600 is an abundant number, since it is smaller than the sum of its proper divisors (9131277000).

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

4221216600 is a wasteful number, since it uses less digits than its factorization.

4221216600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4221216600 is about 64970.8904048575. The cubic root of 4221216600 is about 1616.1408674950.

Adding to 4221216600 its reverse (66121224), we get a palindrome (4287337824).

The spelling of 4221216600 in words is "four billion, two hundred twenty-one million, two hundred sixteen thousand, six hundred".