104042013430224 has 640 divisors, whose sum is σ = 313077106782720. Its totient is φ = 29563630387200.

The previous prime is 104042013430213. The next prime is 104042013430339. The reversal of 104042013430224 is 422034310240401.

It is a super-2 number, since 2×104042013430224² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104042013430191 and 104042013430200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7285337964 + ... + 7285352244.

It is an arithmetic number, because the mean of its divisors is an integer number (489182979348).

Almost surely, 2^{104042013430224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104042013430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156538553391360).

104042013430224 is an abundant number, since it is smaller than the sum of its proper divisors (209035093352496).

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

104042013430224 is a wasteful number, since it uses less digits than its factorization.

104042013430224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14599 (or 14593 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 104042013430224 its reverse (422034310240401), we get a palindrome (526076323670625).

The spelling of 104042013430224 in words is "one hundred four trillion, forty-two billion, thirteen million, four hundred thirty thousand, two hundred twenty-four".