42435571584 has 256 divisors, whose sum is σ = 137910528000. Its totient is φ = 11290834944.

The previous prime is 42435571579. The next prime is 42435571609. The reversal of 42435571584 is 48517553424.

42435571584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3006207 + ... + 3020289.

It is an arithmetic number, because the mean of its divisors is an integer number (538713000).

Almost surely, 2^42435571584 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 42435571584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68955264000).

42435571584 is an abundant number, since it is smaller than the sum of its proper divisors (95474956416).

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

42435571584 is a wasteful number, since it uses less digits than its factorization.

42435571584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14185 (or 14173 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 48.

The spelling of 42435571584 in words is "forty-two billion, four hundred thirty-five million, five hundred seventy-one thousand, five hundred eighty-four".