42110733681 has 25 divisors (see below), whose sum is σ = 63325532105. Its totient is φ = 27887903100.

The previous prime is 42110733629. The next prime is 42110733683. The reversal of 42110733681 is 18633701124.

It is a happy number.

The square root of 42110733681 is 205209.

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

It is not a de Polignac number, because 42110733681 - 2³³ = 33520799089 is a prime.

It is a super-2 number, since 2×42110733681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42110733683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 278878956 + ... + 278879106.

Almost surely, 2^42110733681 is an apocalyptic number.

42110733681 is the 205209-th square number.

42110733681 is the 102605-th centered octagonal number.

It is an amenable number.

42110733681 is a deficient number, since it is larger than the sum of its proper divisors (21214798424).

42110733681 is an frugal number, since it uses more digits than its factorization.

42110733681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 42110733681 by its sum of digits (36), we get a square (1515986412516 = 1231254²).

The spelling of 42110733681 in words is "forty-two billion, one hundred ten million, seven hundred thirty-three thousand, six hundred eighty-one".