42822834912 has 288 divisors, whose sum is σ = 143479286496. Its totient is φ = 11943936000.

The previous prime is 42822834871. The next prime is 42822834931. The reversal of 42822834912 is 21943822824.

42822834912 is a `hidden beast` number, since 4 + 2 + 82 + 2 + 83 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×42822834912³ (a number of 33 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16513488 + ... + 16516080.

It is an arithmetic number, because the mean of its divisors is an integer number (498191967).

Almost surely, 2^42822834912 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 42822834912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71739643248).

42822834912 is an abundant number, since it is smaller than the sum of its proper divisors (100656451584).

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

42822834912 is a wasteful number, since it uses less digits than its factorization.

42822834912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3023 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 42822834912 in words is "forty-two billion, eight hundred twenty-two million, eight hundred thirty-four thousand, nine hundred twelve".