42181268976 has 720 divisors, whose sum is σ = 158352150528. Its totient is φ = 10349337600.

The previous prime is 42181268951. The next prime is 42181268981. The reversal of 42181268976 is 67986218124.

It is a happy number.

42181268976 is a `hidden beast` number, since 421 + 8 + 126 + 8 + 97 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 113086326 + ... + 113086698.

Almost surely, 2^42181268976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42181268976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79176075264).

42181268976 is an abundant number, since it is smaller than the sum of its proper divisors (116170881552).

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

42181268976 is a wasteful number, since it uses less digits than its factorization.

42181268976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 42181268976 in words is "forty-two billion, one hundred eighty-one million, two hundred sixty-eight thousand, nine hundred seventy-six".