42691771584 has 336 divisors, whose sum is σ = 153559800576. Its totient is φ = 11016345600.

The previous prime is 42691771559. The next prime is 42691771601. The reversal of 42691771584 is 48517719624.

42691771584 is a `hidden beast` number, since 42 + 6 + 9 + 17 + 7 + 1 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 42691771584.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6960199 + ... + 6966329.

It is an arithmetic number, because the mean of its divisors is an integer number (457023216).

Almost surely, 2^42691771584 is an apocalyptic number.

42691771584 is a gapful number since it is divisible by the number (44) 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 42691771584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76779900288).

42691771584 is an abundant number, since it is smaller than the sum of its proper divisors (110868028992).

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

42691771584 is a wasteful number, since it uses less digits than its factorization.

42691771584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6311 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

It can be divided in two parts, 426917 and 71584, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 42691771584 in words is "forty-two billion, six hundred ninety-one million, seven hundred seventy-one thousand, five hundred eighty-four".