42561563744 has 96 divisors (see below), whose sum is σ = 98595383040. Its totient is φ = 17706511872.

The previous prime is 42561563743. The next prime is 42561563773. The reversal of 42561563744 is 44736516524.

It is a super-2 number, since 2×42561563744² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42561563743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556462 + ... + 1583570.

It is an arithmetic number, because the mean of its divisors is an integer number (1027035240).

Almost surely, 2^42561563744 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 42561563744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49297691520).

42561563744 is an abundant number, since it is smaller than the sum of its proper divisors (56033819296).

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

42561563744 is a wasteful number, since it uses less digits than its factorization.

42561563744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27332 (or 27324 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 47.

The spelling of 42561563744 in words is "forty-two billion, five hundred sixty-one million, five hundred sixty-three thousand, seven hundred forty-four".