42584080810 has 32 divisors (see below), whose sum is σ = 81171389520. Its totient is φ = 16029453312.

The previous prime is 42584080753. The next prime is 42584080817. The reversal of 42584080810 is 1808048524.

It can be written as a sum of positive squares in 8 ways, for example, as 18901025361 + 23683055449 = 137481^2 + 153893^2 .

It is a super-2 number, since 2×42584080810² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42584080817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1769136 + ... + 1793044.

Almost surely, 2^42584080810 is an apocalyptic number.

42584080810 is a deficient number, since it is larger than the sum of its proper divisors (38587308710).

42584080810 is a wasteful number, since it uses less digits than its factorization.

42584080810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34410.

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 42584080810 in words is "forty-two billion, five hundred eighty-four million, eighty thousand, eight hundred ten".