42850810368 has 240 divisors, whose sum is σ = 133428654216. Its totient is φ = 13188464640.

The previous prime is 42850810363. The next prime is 42850810381. The reversal of 42850810368 is 86301805824.

42850810368 is a `hidden beast` number, since 4 + 285 + 0 + 8 + 1 + 0 + 368 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42422817024 + 427993344 = 205968^2 + 20688^2 .

It is not an unprimeable number, because it can be changed into a prime (42850810363) 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 23 ways as a sum of consecutive naturals, for example, 4146648 + ... + 4156968.

Almost surely, 2^42850810368 is an apocalyptic number.

42850810368 is a gapful number since it is divisible by the number (48) 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 42850810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66714327108).

42850810368 is an abundant number, since it is smaller than the sum of its proper divisors (90577843848).

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

42850810368 is a wasteful number, since it uses less digits than its factorization.

42850810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10396 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 42850810368 in words is "forty-two billion, eight hundred fifty million, eight hundred ten thousand, three hundred sixty-eight".