4221002000 has 160 divisors (see below), whose sum is σ = 10849662720. Its totient is φ = 1583769600.

The previous prime is 4221001973. The next prime is 4221002003. The reversal of 4221002000 is 2001224.

4221002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4221002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4293509 + ... + 4294491.

It is an arithmetic number, because the mean of its divisors is an integer number (67810392).

Almost surely, 2^4221002000 is an apocalyptic number.

4221002000 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 4221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424831360).

4221002000 is an abundant number, since it is smaller than the sum of its proper divisors (6628660720).

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

4221002000 is a wasteful number, since it uses less digits than its factorization.

4221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4221002000 is about 64969.2388750245. The cubic root of 4221002000 is about 1616.1134796792.

Adding to 4221002000 its reverse (2001224), we get a palindrome (4223003224).

The spelling of 4221002000 in words is "four billion, two hundred twenty-one million, two thousand".