42509615616 has 320 divisors, whose sum is σ = 138687373440. Its totient is φ = 12773376000.

The previous prime is 42509615593. The next prime is 42509615623. The reversal of 42509615616 is 61651690524.

42509615616 is a `hidden beast` number, since 4 + 25 + 0 + 9 + 6 + 1 + 5 + 616 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7724866 + ... + 7730366.

It is an arithmetic number, because the mean of its divisors is an integer number (433398042).

Almost surely, 2^42509615616 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 42509615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69343686720).

42509615616 is an abundant number, since it is smaller than the sum of its proper divisors (96177757824).

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

42509615616 is a wasteful number, since it uses less digits than its factorization.

42509615616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 42509615616 in words is "forty-two billion, five hundred nine million, six hundred fifteen thousand, six hundred sixteen".