4221441000 has 384 divisors, whose sum is σ = 16756796160. Its totient is φ = 938304000.

The previous prime is 4221440959. The next prime is 4221441001. The reversal of 4221441000 is 1441224.

4221441000 is a `hidden beast` number, since 4 + 221 + 441 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4221441001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2330095 + ... + 2331905.

It is an arithmetic number, because the mean of its divisors is an integer number (43637490).

Almost surely, 2^4221441000 is an apocalyptic number.

4221441000 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 4221441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378398080).

4221441000 is an abundant number, since it is smaller than the sum of its proper divisors (12535355160).

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

4221441000 is a wasteful number, since it uses less digits than its factorization.

4221441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4221441000 is about 64972.6173091403. The cubic root of 4221441000 is about 1616.1695050198.

Adding to 4221441000 its reverse (1441224), we get a palindrome (4222882224).

The spelling of 4221441000 in words is "four billion, two hundred twenty-one million, four hundred forty-one thousand".