4042412230220 has 288 divisors, whose sum is σ = 11008075478400. Its totient is φ = 1234487955456.

The previous prime is 4042412230169. The next prime is 4042412230267. The reversal of 4042412230220 is 220322142404.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4042412230220.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1072540496 + ... + 1072544264.

It is an arithmetic number, because the mean of its divisors is an integer number (38222484300).

Almost surely, 2^{4042412230220} 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 4042412230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504037739200).

4042412230220 is an abundant number, since it is smaller than the sum of its proper divisors (6965663248180).

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

4042412230220 is a wasteful number, since it uses less digits than its factorization.

4042412230220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4042412230220 its reverse (220322142404), we get a palindrome (4262734372624).

The spelling of 4042412230220 in words is "four trillion, forty-two billion, four hundred twelve million, two hundred thirty thousand, two hundred twenty".