42182300160 has 1920 divisors, whose sum is σ = 205906821120. Its totient is φ = 7697203200.

The previous prime is 42182300099. The next prime is 42182300161. The reversal of 42182300160 is 6100328124.

42182300160 is a `hidden beast` number, since 421 + 8 + 230 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (42182300161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 714954211 + ... + 714954269.

It is an arithmetic number, because the mean of its divisors is an integer number (107243136).

Almost surely, 2^42182300160 is an apocalyptic number.

42182300160 is a gapful number since it is divisible by the number (40) 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 42182300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102953410560).

42182300160 is an abundant number, since it is smaller than the sum of its proper divisors (163724520960).

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

42182300160 is a wasteful number, since it uses less digits than its factorization.

42182300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 42182300160 its reverse (6100328124), we get a palindrome (48282628284).

The spelling of 42182300160 in words is "forty-two billion, one hundred eighty-two million, three hundred thousand, one hundred sixty".