42340629187584 has 1056 divisors, whose sum is σ = 159241744347840. Its totient is φ = 11013455609856.

The previous prime is 42340629187579. The next prime is 42340629187609. The reversal of 42340629187584 is 48578192604324.

42340629187584 is a `hidden beast` number, since 4 + 2 + 3 + 40 + 6 + 2 + 9 + 1 + 8 + 7 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1285643182 + ... + 1285676114.

It is an arithmetic number, because the mean of its divisors is an integer number (150797106390).

It is a 1-persistent number, because it is pandigital, but 2⋅42340629187584 = 84681258375168 is not.

Almost surely, 2^{42340629187584} 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 42340629187584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79620872173920).

42340629187584 is an abundant number, since it is smaller than the sum of its proper divisors (116901115160256).

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

42340629187584 is a wasteful number, since it uses less digits than its factorization.

42340629187584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33062 (or 33031 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 42340629187584 in words is "forty-two trillion, three hundred forty billion, six hundred twenty-nine million, one hundred eighty-seven thousand, five hundred eighty-four".