42120410224 has 40 divisors (see below), whose sum is σ = 85923607680. Its totient is φ = 19947096000.

The previous prime is 42120410221. The next prime is 42120410237. The reversal of 42120410224 is 42201402124.

It is a junction number, because it is equal to n+sod(n) for n = 42120410195 and 42120410204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120410221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1521789 + ... + 1549219.

It is an arithmetic number, because the mean of its divisors is an integer number (2148090192).

Almost surely, 2^42120410224 is an apocalyptic number.

It is an amenable number.

42120410224 is an abundant number, since it is smaller than the sum of its proper divisors (43803197456).

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

42120410224 is a wasteful number, since it uses less digits than its factorization.

42120410224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32509 (or 32503 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 42120410224 its reverse (42201402124), we get a palindrome (84321812348).

The spelling of 42120410224 in words is "forty-two billion, one hundred twenty million, four hundred ten thousand, two hundred twenty-four".