42331735680 has 256 divisors, whose sum is σ = 147699296640. Its totient is φ = 10248929280.

The previous prime is 42331735673. The next prime is 42331735697. The reversal of 42331735680 is 8653713324.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1508659 + ... + 1536461.

Almost surely, 2^42331735680 is an apocalyptic number.

42331735680 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 42331735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73849648320).

42331735680 is an abundant number, since it is smaller than the sum of its proper divisors (105367560960).

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

42331735680 is a wasteful number, since it uses less digits than its factorization.

42331735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27899 (or 27887 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 42331735680 in words is "forty-two billion, three hundred thirty-one million, seven hundred thirty-five thousand, six hundred eighty".