42558191984896 has 405 divisors, whose sum is σ = 101655201050151. Its totient is φ = 17781107355648.

The previous prime is 42558191984881. The next prime is 42558191984927. The reversal of 42558191984896 is 69848919185524.

The square root of 42558191984896 is 6523664.

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

42558191984896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10228490496 + 42547963494400 = 101136^2 + 6522880^2 .

It is a super-2 number, since 2×42558191984896² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 271071286450 + ... + 271071286606.

Almost surely, 2^{42558191984896} is an apocalyptic number.

42558191984896 is the 6523664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42558191984896

42558191984896 is an abundant number, since it is smaller than the sum of its proper divisors (59097009065255).

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

42558191984896 is an frugal number, since it uses more digits than its factorization.

42558191984896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 219 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 79.

The spelling of 42558191984896 in words is "forty-two trillion, five hundred fifty-eight billion, one hundred ninety-one million, nine hundred eighty-four thousand, eight hundred ninety-six".