4042442223100 has 72 divisors (see below), whose sum is σ = 8859904665920. Its totient is φ = 1600816193280.

The previous prime is 4042442223091. The next prime is 4042442223109. The reversal of 4042442223100 is 13222442404.

It is an interprime number because it is at equal distance from previous prime (4042442223091) and next prime (4042442223109).

It is a super-2 number, since 2×4042442223100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042442223109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13068829 + ... + 13374571.

Almost surely, 2^{4042442223100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042442223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429952332960).

4042442223100 is an abundant number, since it is smaller than the sum of its proper divisors (4817462442820).

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

4042442223100 is a wasteful number, since it uses less digits than its factorization.

4042442223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307079 (or 307072 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4042442223100 its reverse (13222442404), we get a palindrome (4055664665504).

The spelling of 4042442223100 in words is "four trillion, forty-two billion, four hundred forty-two million, two hundred twenty-three thousand, one hundred".