9507981042 has 112 divisors (see below), whose sum is σ = 24577705152. Its totient is φ = 2701032480.

The previous prime is 9507981037. The next prime is 9507981061. The reversal of 9507981042 is 2401897059.

9507981042 is a `hidden beast` number, since 9 + 507 + 98 + 10 + 42 = 666.

9507981042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1844713 + ... + 1849859.

It is an arithmetic number, because the mean of its divisors is an integer number (219443796).

Almost surely, 2^9507981042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9507981042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288852576).

9507981042 is an abundant number, since it is smaller than the sum of its proper divisors (15069724110).

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

9507981042 is a wasteful number, since it uses less digits than its factorization.

9507981042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9507981042 is about 97508.8767343774. The cubic root of 9507981042 is about 2118.5047188529.

It can be divided in two parts, 95079 and 81042, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 9507981042 in words is "nine billion, five hundred seven million, nine hundred eighty-one thousand, forty-two".