4221214368 has 288 divisors, whose sum is σ = 13537782720. Its totient is φ = 1147023360.

The previous prime is 4221214367. The next prime is 4221214381. The reversal of 4221214368 is 8634121224.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4221214367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8292898 + ... + 8293406.

It is an arithmetic number, because the mean of its divisors is an integer number (47006190).

Almost surely, 2^4221214368 is an apocalyptic number.

4221214368 is a gapful number since it is divisible by the number (48) 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 4221214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768891360).

4221214368 is an abundant number, since it is smaller than the sum of its proper divisors (9316568352).

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

4221214368 is a wasteful number, since it uses less digits than its factorization.

4221214368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 605 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 4221214368 is about 64970.8732279319. The cubic root of 4221214368 is about 1616.1405826461.

The spelling of 4221214368 in words is "four billion, two hundred twenty-one million, two hundred fourteen thousand, three hundred sixty-eight".