42812852320 has 144 divisors (see below), whose sum is σ = 119317611168. Its totient is φ = 14471761920.

The previous prime is 42812852311. The next prime is 42812852321. The reversal of 42812852320 is 2325821824.

It is a self number, because there is not a number n which added to its sum of digits gives 42812852320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42812852321) 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 23 ways as a sum of consecutive naturals, for example, 518184 + ... + 595096.

It is an arithmetic number, because the mean of its divisors is an integer number (828594522).

Almost surely, 2^42812852320 is an apocalyptic number.

42812852320 is a gapful number since it is divisible by the number (40) 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 42812852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59658805584).

42812852320 is an abundant number, since it is smaller than the sum of its proper divisors (76504758848).

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

42812852320 is a wasteful number, since it uses less digits than its factorization.

42812852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77013 (or 76998 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 42812852320 in words is "forty-two billion, eight hundred twelve million, eight hundred fifty-two thousand, three hundred twenty".