42581316672 has 84 divisors (see below), whose sum is σ = 122095174656. Its totient is φ = 14188711680.

The previous prime is 42581316653. The next prime is 42581316677. The reversal of 42581316672 is 27661318524.

42581316672 is a `hidden beast` number, since 4 + 2 + 581 + 3 + 1 + 6 + 67 + 2 = 666.

It is a super-3 number, since 3×42581316672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42581316677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1826433 + ... + 1849599.

It is an arithmetic number, because the mean of its divisors is an integer number (1453513984).

Almost surely, 2^42581316672 is an apocalyptic number.

It is an amenable number.

42581316672 is an abundant number, since it is smaller than the sum of its proper divisors (79513857984).

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

42581316672 is a wasteful number, since it uses less digits than its factorization.

42581316672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26376 (or 26363 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 42581316672 in words is "forty-two billion, five hundred eighty-one million, three hundred sixteen thousand, six hundred seventy-two".