4042122414024 has 32 divisors (see below), whose sum is σ = 10105620264000. Its totient is φ = 1347332240832.

The previous prime is 4042122413981. The next prime is 4042122414041. The reversal of 4042122414024 is 4204142212404.

It is a junction number, because it is equal to n+sod(n) for n = 4042122413982 and 4042122414000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1825779 + ... + 3379010.

It is an arithmetic number, because the mean of its divisors is an integer number (315800633250).

Almost surely, 2^{4042122414024} is an apocalyptic number.

It is an amenable number.

4042122414024 is an abundant number, since it is smaller than the sum of its proper divisors (6063497849976).

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

4042122414024 is a wasteful number, since it uses less digits than its factorization.

4042122414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237157 (or 5237153 counting only the distinct ones).

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

Adding to 4042122414024 its reverse (4204142212404), we get a palindrome (8246264626428).

The spelling of 4042122414024 in words is "four trillion, forty-two billion, one hundred twenty-two million, four hundred fourteen thousand, twenty-four".