42326883072 has 576 divisors, whose sum is σ = 139986201600. Its totient is φ = 12711333888.

The previous prime is 42326883059. The next prime is 42326883073. The reversal of 42326883072 is 27038862324.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (42326883073) 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 63 ways as a sum of consecutive naturals, for example, 244663978 + ... + 244664150.

It is an arithmetic number, because the mean of its divisors is an integer number (243031600).

Almost surely, 2^42326883072 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 42326883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69993100800).

42326883072 is an abundant number, since it is smaller than the sum of its proper divisors (97659318528).

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

42326883072 is an equidigital number, since it uses as much as digits as its factorization.

42326883072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 42326883072 in words is "forty-two billion, three hundred twenty-six million, eight hundred eighty-three thousand, seventy-two".