42778715815936 has 153 divisors (see below), whose sum is σ = 88709436459163. Its totient is φ = 20628352532480.

The previous prime is 42778715815859. The next prime is 42778715815937. The reversal of 42778715815936 is 63951851787724.

The square root of 42778715815936 is 6540544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4461625409536 + 38317090406400 = 2112256^2 + 6190080^2 .

It is a super-2 number, since 2×42778715815936² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42778715815937) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 48556998216 + ... + 48556999096.

Almost surely, 2^{42778715815936} is an apocalyptic number.

42778715815936 is the 6540544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42778715815936

42778715815936 is an abundant number, since it is smaller than the sum of its proper divisors (45930720643227).

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

42778715815936 is an frugal number, since it uses more digits than its factorization.

42778715815936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 912 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 73.

The spelling of 42778715815936 in words is "forty-two trillion, seven hundred seventy-eight billion, seven hundred fifteen million, eight hundred fifteen thousand, nine hundred thirty-six".