42681687840 has 576 divisors, whose sum is σ = 173699914752. Its totient is φ = 9422438400.

The previous prime is 42681687833. The next prime is 42681687863. The reversal of 42681687840 is 4878618624.

42681687840 is a `hidden beast` number, since 426 + 81 + 68 + 7 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8345124 + ... + 8350236.

It is an arithmetic number, because the mean of its divisors is an integer number (301562352).

Almost surely, 2^42681687840 is an apocalyptic number.

42681687840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42681687840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86849957376).

42681687840 is an abundant number, since it is smaller than the sum of its proper divisors (131018226912).

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

42681687840 is a wasteful number, since it uses less digits than its factorization.

42681687840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 42681687840 in words is "forty-two billion, six hundred eighty-one million, six hundred eighty-seven thousand, eight hundred forty".