42130010315424 has 192 divisors, whose sum is σ = 114061636128384. Its totient is φ = 13609240559616.

The previous prime is 42130010315401. The next prime is 42130010315429. The reversal of 42130010315424 is 42451301003124.

It is a super-3 number, since 3×42130010315424³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42130010315391 and 42130010315400.

It is not an unprimeable number, because it can be changed into a prime (42130010315429) 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 31 ways as a sum of consecutive naturals, for example, 2473426012 + ... + 2473443044.

It is an arithmetic number, because the mean of its divisors is an integer number (594071021502).

Almost surely, 2^{42130010315424} 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 42130010315424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57030818064192).

42130010315424 is an abundant number, since it is smaller than the sum of its proper divisors (71931625812960).

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

42130010315424 is a wasteful number, since it uses less digits than its factorization.

42130010315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23039 (or 23031 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 42130010315424 its reverse (42451301003124), we get a palindrome (84581311318548).

The spelling of 42130010315424 in words is "forty-two trillion, one hundred thirty billion, ten million, three hundred fifteen thousand, four hundred twenty-four".