42560244720 has 1280 divisors, whose sum is σ = 187416576000. Its totient is φ = 8767595520.

The previous prime is 42560244703. The next prime is 42560244721. The reversal of 42560244720 is 2744206524.

42560244720 is a `hidden beast` number, since 4 + 2 + 5 + 602 + 4 + 47 + 2 + 0 = 666.

It is a super-2 number, since 2×42560244720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42560244721) 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 255 ways as a sum of consecutive naturals, for example, 721360051 + ... + 721360109.

It is an arithmetic number, because the mean of its divisors is an integer number (146419200).

Almost surely, 2^42560244720 is an apocalyptic number.

42560244720 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 42560244720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93708288000).

42560244720 is an abundant number, since it is smaller than the sum of its proper divisors (144856331280).

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

42560244720 is a wasteful number, since it uses less digits than its factorization.

42560244720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 42560244720 in words is "forty-two billion, five hundred sixty million, two hundred forty-four thousand, seven hundred twenty".