42335085072 has 240 divisors, whose sum is σ = 129145817472. Its totient is φ = 11948912640.

The previous prime is 42335084959. The next prime is 42335085083. The reversal of 42335085072 is 27058053324.

It is a self number, because there is not a number n which added to its sum of digits gives 42335085072.

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, 78253122 + ... + 78253662.

Almost surely, 2^42335085072 is an apocalyptic number.

42335085072 is a gapful number since it is divisible by the number (42) 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 42335085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64572908736).

42335085072 is an abundant number, since it is smaller than the sum of its proper divisors (86810732400).

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

42335085072 is an frugal number, since it uses more digits than its factorization.

42335085072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 42335085072 in words is "forty-two billion, three hundred thirty-five million, eighty-five thousand, seventy-two".