42812084736 has 200 divisors, whose sum is σ = 132192817020. Its totient is φ = 13778214912.

The previous prime is 42812084729. The next prime is 42812084741. The reversal of 42812084736 is 63748021824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40933382400 + 1878702336 = 202320^2 + 43344^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42812084691 and 42812084700.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1184890 + ... + 1220486.

Almost surely, 2^42812084736 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 42812084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096408510).

42812084736 is an abundant number, since it is smaller than the sum of its proper divisors (89380732284).

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

42812084736 is an equidigital number, since it uses as much as digits as its factorization.

42812084736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35656 (or 35631 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42812084736 in words is "forty-two billion, eight hundred twelve million, eighty-four thousand, seven hundred thirty-six".