4042122414044 has 72 divisors (see below), whose sum is σ = 8375990933520. Its totient is φ = 1695457463040.

The previous prime is 4042122414041. The next prime is 4042122414091. The reversal of 4042122414044 is 4404142212404.

4042122414044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4042122414044² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4042122414044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042122414041) 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, 20052992 + ... + 20253560.

It is an arithmetic number, because the mean of its divisors is an integer number (116333207410).

Almost surely, 2^{4042122414044} is an apocalyptic number.

4042122414044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4042122414044 is an abundant number, since it is smaller than the sum of its proper divisors (4333868519476).

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

4042122414044 is a wasteful number, since it uses less digits than its factorization.

4042122414044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203811 (or 203798 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 4042122414044 its reverse (4404142212404), we get a palindrome (8446264626448).

The spelling of 4042122414044 in words is "four trillion, forty-two billion, one hundred twenty-two million, four hundred fourteen thousand, forty-four".