42121815696 has 75 divisors (see below), whose sum is σ = 121934143353. Its totient is φ = 14038142400.

The previous prime is 42121815679. The next prime is 42121815707. The reversal of 42121815696 is 69651812124.

The square root of 42121815696 is 205236.

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

42121815696 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 1 + 81 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35734609296 + 6387206400 = 189036^2 + 79920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7385646 + ... + 7391346.

Almost surely, 2^42121815696 is an apocalyptic number.

42121815696 is the 205236-th square number.

It is an amenable number.

42121815696 is an abundant number, since it is smaller than the sum of its proper divisors (79812327657).

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

42121815696 is an frugal number, since it uses more digits than its factorization.

42121815696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422 (or 5706 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 42121815696 in words is "forty-two billion, one hundred twenty-one million, eight hundred fifteen thousand, six hundred ninety-six".