4042414224210 has 32 divisors (see below), whose sum is σ = 9797851513152. Its totient is φ = 1067304084800.

The previous prime is 4042414224193. The next prime is 4042414224217. The reversal of 4042414224210 is 124224142404.

It is a super-2 number, since 2×4042414224210² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4042414224217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667062024 + ... + 667068083.

It is an arithmetic number, because the mean of its divisors is an integer number (306182859786).

Almost surely, 2^{4042414224210} is an apocalyptic number.

4042414224210 is an abundant number, since it is smaller than the sum of its proper divisors (5755437288942).

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

4042414224210 is a wasteful number, since it uses less digits than its factorization.

4042414224210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334130218.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4042414224210 its reverse (124224142404), we get a palindrome (4166638366614).

It can be divided in two parts, 4042414 and 224210, that added together give a palindrome (4266624).

The spelling of 4042414224210 in words is "four trillion, forty-two billion, four hundred fourteen million, two hundred twenty-four thousand, two hundred ten".