42059301120 has 216 divisors, whose sum is σ = 146282526936. Its totient is φ = 11157110784.

The previous prime is 42059301101. The next prime is 42059301139. The reversal of 42059301120 is 2110395024.

42059301120 is a `hidden beast` number, since 42 + 0 + 593 + 0 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (42059301101) and next prime (42059301139).

It can be written as a sum of positive squares in 4 ways, for example, as 4992270336 + 37067030784 = 70656^2 + 192528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2213902 + ... + 2232818.

It is an arithmetic number, because the mean of its divisors is an integer number (677233921).

Almost surely, 2^42059301120 is an apocalyptic number.

42059301120 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 42059301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73141263468).

42059301120 is an abundant number, since it is smaller than the sum of its proper divisors (104223225816).

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

42059301120 is a wasteful number, since it uses less digits than its factorization.

42059301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19137 (or 19120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 42059301120 its reverse (2110395024), we get a palindrome (44169696144).

The spelling of 42059301120 in words is "forty-two billion, fifty-nine million, three hundred one thousand, one hundred twenty".