4221000000 has 588 divisors, whose sum is σ = 17541650464. Its totient is φ = 950400000.

The previous prime is 4220999969. The next prime is 4221000001. The reversal of 4221000000 is 1224.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 62999967 + ... + 63000033.

Almost surely, 2^4221000000 is an apocalyptic number.

4221000000 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 4221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770825232).

4221000000 is an abundant number, since it is smaller than the sum of its proper divisors (13320650464).

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

4221000000 is an frugal number, since it uses more digits than its factorization.

4221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4221000000 is about 64969.2234831231. The cubic root of 4221000000 is about 1616.1132244296.

Adding to 4221000000 its reverse (1224), we get a palindrome (4221001224).

The spelling of 4221000000 in words is "four billion, two hundred twenty-one million", and thus it is an aban number.