42065122356 has 36 divisors (see below), whose sum is σ = 106357263012. Its totient is φ = 14018281344.

The previous prime is 42065122331. The next prime is 42065122357. The reversal of 42065122356 is 65322156024.

42065122356 is a `hidden beast` number, since 420 + 6 + 5 + 1 + 223 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13049406756 + 29015715600 = 114234^2 + 170340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42065122356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42065122357) 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 11 ways as a sum of consecutive naturals, for example, 8830 + ... + 290186.

It is an arithmetic number, because the mean of its divisors is an integer number (2954368417).

Almost surely, 2^42065122356 is an apocalyptic number.

It is an amenable number.

42065122356 is an abundant number, since it is smaller than the sum of its proper divisors (64292140656).

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

42065122356 is a wasteful number, since it uses less digits than its factorization.

42065122356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285520 (or 285515 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42065122356 in words is "forty-two billion, sixty-five million, one hundred twenty-two thousand, three hundred fifty-six".