42812116992 has 156 divisors (see below), whose sum is σ = 127656931584. Its totient is φ = 13809991680.

The previous prime is 42812116987. The next prime is 42812117003. The reversal of 42812116992 is 29961121824.

It is a happy number.

42812116992 is a `hidden beast` number, since 428 + 1 + 211 + 6 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×42812116992² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124053 + ... + 1161515.

It is an arithmetic number, because the mean of its divisors is an integer number (818313664).

Almost surely, 2^42812116992 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 42812116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63828465792).

42812116992 is an abundant number, since it is smaller than the sum of its proper divisors (84844814592).

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

42812116992 is a wasteful number, since it uses less digits than its factorization.

42812116992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37524 (or 37499 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 42812116992 in words is "forty-two billion, eight hundred twelve million, one hundred sixteen thousand, nine hundred ninety-two".