42158364336 has 240 divisors, whose sum is σ = 130195952640. Its totient is φ = 12628846080.

The previous prime is 42158364289. The next prime is 42158364337. The reversal of 42158364336 is 63346385124.

42158364336 is a `hidden beast` number, since 4 + 2 + 1 + 583 + 64 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42158364291 and 42158364300.

It is not an unprimeable number, because it can be changed into a prime (42158364337) 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 47 ways as a sum of consecutive naturals, for example, 69453345 + ... + 69453951.

It is an arithmetic number, because the mean of its divisors is an integer number (542483136).

Almost surely, 2^42158364336 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 42158364336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65097976320).

42158364336 is an abundant number, since it is smaller than the sum of its proper divisors (88037588304).

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

42158364336 is a wasteful number, since it uses less digits than its factorization.

42158364336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 42158364336 in words is "forty-two billion, one hundred fifty-eight million, three hundred sixty-four thousand, three hundred thirty-six".