4042133242224 has 640 divisors, whose sum is σ = 13497600098304. Its totient is φ = 1011999744000.

The previous prime is 4042133242219. The next prime is 4042133242291. The reversal of 4042133242224 is 4222423312404.

It is a happy number.

It is a super-2 number, since 2×4042133242224² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5339673654 + ... + 5339674410.

Almost surely, 2^{4042133242224} is an apocalyptic number.

4042133242224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042133242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748800049152).

4042133242224 is an abundant number, since it is smaller than the sum of its proper divisors (9455466856080).

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

4042133242224 is a wasteful number, since it uses less digits than its factorization.

4042133242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 4042133242224 its reverse (4222423312404), we get a palindrome (8264556554628).

The spelling of 4042133242224 in words is "four trillion, forty-two billion, one hundred thirty-three million, two hundred forty-two thousand, two hundred twenty-four".