42356979634176 has 195 divisors, whose sum is σ = 126543765026811. Its totient is φ = 14117743632384.

The previous prime is 42356979634171. The next prime is 42356979634213. The reversal of 42356979634176 is 67143697965324.

The square root of 42356979634176 is 6508224.

It is a perfect power (a square), and thus also a powerful number.

42356979634176 is a `hidden beast` number, since 4 + 2 + 35 + 6 + 97 + 96 + 3 + 417 + 6 = 666.

It is a super-2 number, since 2×42356979634176² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (42356979634171) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 3748731375 + ... + 3748742673.

Almost surely, 2^{42356979634176} is an apocalyptic number.

42356979634176 is the 6508224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42356979634176

42356979634176 is an abundant number, since it is smaller than the sum of its proper divisors (84186785392635).

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

42356979634176 is an frugal number, since it uses more digits than its factorization.

42356979634176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22634 (or 11304 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 72.

The spelling of 42356979634176 in words is "forty-two trillion, three hundred fifty-six billion, nine hundred seventy-nine million, six hundred thirty-four thousand, one hundred seventy-six".