42605980320 has 192 divisors, whose sum is σ = 136802856960. Its totient is φ = 11144060928.

The previous prime is 42605980283. The next prime is 42605980327. The reversal of 42605980320 is 2308950624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42605980327) 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 31 ways as a sum of consecutive naturals, for example, 5421514 + ... + 5429366.

It is an arithmetic number, because the mean of its divisors is an integer number (712514880).

Almost surely, 2^42605980320 is an apocalyptic number.

42605980320 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 42605980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68401428480).

42605980320 is an abundant number, since it is smaller than the sum of its proper divisors (94196876640).

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

42605980320 is a wasteful number, since it uses less digits than its factorization.

42605980320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 42605980320 in words is "forty-two billion, six hundred five million, nine hundred eighty thousand, three hundred twenty".