42085604736 has 384 divisors, whose sum is σ = 147093710400. Its totient is φ = 11275075584.

The previous prime is 42085604731. The next prime is 42085604741. The reversal of 42085604736 is 63740658024.

42085604736 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 5 + 604 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (42085604731) and next prime (42085604741).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 42085604691 and 42085604700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42085604731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59358750 + ... + 59359458.

Almost surely, 2^42085604736 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 42085604736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73546855200).

42085604736 is an abundant number, since it is smaller than the sum of its proper divisors (105008105664).

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

42085604736 is a wasteful number, since it uses less digits than its factorization.

42085604736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42085604736 in words is "forty-two billion, eighty-five million, six hundred four thousand, seven hundred thirty-six".