42065238435984 has 135 divisors (see below), whose sum is σ = 125060483098603. Its totient is φ = 13196522459136.

The previous prime is 42065238435929. The next prime is 42065238435989. The reversal of 42065238435984 is 48953483256024.

The square root of 42065238435984 is 6485772.

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

42065238435984 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 5 + 2 + 38 + 4 + 3 + 598 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11393136138384 + 30672102297600 = 3375372^2 + 5538240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42065238435989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1323081592 + ... + 1323113384.

Almost surely, 2^{42065238435984} is an apocalyptic number.

42065238435984 is the 6485772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42065238435984

42065238435984 is an abundant number, since it is smaller than the sum of its proper divisors (82995244662619).

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

42065238435984 is an frugal number, since it uses more digits than its factorization.

42065238435984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63634 (or 31815 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 42065238435984 in words is "forty-two trillion, sixty-five billion, two hundred thirty-eight million, four hundred thirty-five thousand, nine hundred eighty-four".