42359605218 has 384 divisors, whose sum is σ = 119041228800. Its totient is φ = 10617868800.

The previous prime is 42359605159. The next prime is 42359605243. The reversal of 42359605218 is 81250695324.

42359605218 is a `hidden beast` number, since 4 + 2 + 3 + 596 + 0 + 52 + 1 + 8 = 666.

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 191 ways as a sum of consecutive naturals, for example, 184976328 + ... + 184976556.

It is an arithmetic number, because the mean of its divisors is an integer number (310003200).

Almost surely, 2^42359605218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42359605218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520614400).

42359605218 is an abundant number, since it is smaller than the sum of its proper divisors (76681623582).

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

42359605218 is a wasteful number, since it uses less digits than its factorization.

42359605218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 42359605218 in words is "forty-two billion, three hundred fifty-nine million, six hundred five thousand, two hundred eighteen".