4042221000 has 128 divisors (see below), whose sum is σ = 12697776000. Its totient is φ = 1070572800.

The previous prime is 4042220983. The next prime is 4042221011. The reversal of 4042221000 is 1222404.

It is a super-2 number, since 2×4042221000² = 32679101225682000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442479 + ... + 451521.

It is an arithmetic number, because the mean of its divisors is an integer number (99201375).

Almost surely, 2^4042221000 is an apocalyptic number.

4042221000 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 4042221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888000).

4042221000 is an abundant number, since it is smaller than the sum of its proper divisors (8655555000).

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

4042221000 is a wasteful number, since it uses less digits than its factorization.

4042221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4042221000 is about 63578.4633346859. The cubic root of 4042221000 is about 1592.9666538708.

Adding to 4042221000 its reverse (1222404), we get a palindrome (4043443404).

The spelling of 4042221000 in words is "four billion, forty-two million, two hundred twenty-one thousand".