42561622656 has 288 divisors, whose sum is σ = 142849980000. Its totient is φ = 12128191488.

The previous prime is 42561622651. The next prime is 42561622681. The reversal of 42561622656 is 65622616524.

42561622656 is a `hidden beast` number, since 4 + 2 + 5 + 616 + 2 + 26 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42561622656² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42561622651) 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 35 ways as a sum of consecutive naturals, for example, 28392595 + ... + 28394093.

It is an arithmetic number, because the mean of its divisors is an integer number (496006875).

Almost surely, 2^42561622656 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 42561622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424990000).

42561622656 is an abundant number, since it is smaller than the sum of its proper divisors (100288357344).

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

42561622656 is a wasteful number, since it uses less digits than its factorization.

42561622656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2014 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 42561622656 in words is "forty-two billion, five hundred sixty-one million, six hundred twenty-two thousand, six hundred fifty-six".