42822160752 has 240 divisors, whose sum is σ = 132736361472. Its totient is φ = 11852628480.

The previous prime is 42822160723. The next prime is 42822160753. The reversal of 42822160752 is 25706122824.

It is a self number, because there is not a number n which added to its sum of digits gives 42822160752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42822160753) by changing a digit.

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, 22886377 + ... + 22888247.

Almost surely, 2^42822160752 is an apocalyptic number.

42822160752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42822160752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66368180736).

42822160752 is an abundant number, since it is smaller than the sum of its proper divisors (89914200720).

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

42822160752 is a wasteful number, since it uses less digits than its factorization.

42822160752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 42822160752 in words is "forty-two billion, eight hundred twenty-two million, one hundred sixty thousand, seven hundred fifty-two".