42666736592484 has 135 divisors (see below), whose sum is σ = 114623127913567. Its totient is φ = 13382089456512.

The previous prime is 42666736592477. The next prime is 42666736592503. The reversal of 42666736592484 is 48429563766624.

The square root of 42666736592484 is 6531978.

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

It can be written as a sum of positive squares in 2 ways, for example, as 13241753322084 + 29424983270400 = 3638922^2 + 5424480^2 .

It is a super-2 number, since 2×42666736592484² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

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, 11326447969 + ... + 11326451735.

Almost surely, 2^{42666736592484} is an apocalyptic number.

42666736592484 is the 6531978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42666736592484

42666736592484 is an abundant number, since it is smaller than the sum of its proper divisors (71956391321083).

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

42666736592484 is an frugal number, since it uses more digits than its factorization.

42666736592484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 3789 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 72.

The spelling of 42666736592484 in words is "forty-two trillion, six hundred sixty-six billion, seven hundred thirty-six million, five hundred ninety-two thousand, four hundred eighty-four".