42509167712 has 192 divisors, whose sum is σ = 95312609280. Its totient is φ = 18498009600.

The previous prime is 42509167711. The next prime is 42509167733. The reversal of 42509167712 is 21776190524.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42509167711) 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 31 ways as a sum of consecutive naturals, for example, 187264943 + ... + 187265169.

It is an arithmetic number, because the mean of its divisors is an integer number (496419840).

Almost surely, 2^42509167712 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 42509167712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47656304640).

42509167712 is an abundant number, since it is smaller than the sum of its proper divisors (52803441568).

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

42509167712 is a wasteful number, since it uses less digits than its factorization.

42509167712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 42509167712 in words is "forty-two billion, five hundred nine million, one hundred sixty-seven thousand, seven hundred twelve".