42861537072 has 80 divisors (see below), whose sum is σ = 123172116480. Its totient is φ = 14270499648.

The previous prime is 42861537071. The next prime is 42861537109. The reversal of 42861537072 is 27073516824.

42861537072 is a `hidden beast` number, since 4 + 28 + 615 + 3 + 7 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×42861537072² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42861537071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315333 + ... + 430299.

It is an arithmetic number, because the mean of its divisors is an integer number (1539651456).

Almost surely, 2^42861537072 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 42861537072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61586058240).

42861537072 is an abundant number, since it is smaller than the sum of its proper divisors (80310579408).

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

42861537072 is a wasteful number, since it uses less digits than its factorization.

42861537072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115847 (or 115835 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 42861537072 in words is "forty-two billion, eight hundred sixty-one million, five hundred thirty-seven thousand, seventy-two".