42531630322560 has 256 divisors, whose sum is σ = 139781337189120. Its totient is φ = 10993438310400.

The previous prime is 42531630322513. The next prime is 42531630322607. The reversal of 42531630322560 is 6522303613524.

42531630322560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42531630322513) and next prime (42531630322607).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8849100 + ... + 12781620.

It is an arithmetic number, because the mean of its divisors is an integer number (546020848395).

Almost surely, 2^{42531630322560} is an apocalyptic number.

42531630322560 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 42531630322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69890668594560).

42531630322560 is an abundant number, since it is smaller than the sum of its proper divisors (97249706866560).

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

42531630322560 is a wasteful number, since it uses less digits than its factorization.

42531630322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932717 (or 3932705 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 42531630322560 in words is "forty-two trillion, five hundred thirty-one billion, six hundred thirty million, three hundred twenty-two thousand, five hundred sixty".