1009741162768 has 80 divisors (see below), whose sum is σ = 2136083420800. Its totient is φ = 459615513600.

The previous prime is 1009741162757. The next prime is 1009741162817. The reversal of 1009741162768 is 8672611479001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 15 ways as a sum of consecutive naturals, for example, 4250068 + ... + 4481356.

It is an arithmetic number, because the mean of its divisors is an integer number (26701042760).

Almost surely, 2^{1009741162768} 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 1009741162768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068041710400).

1009741162768 is an abundant number, since it is smaller than the sum of its proper divisors (1126342258032).

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

1009741162768 is a wasteful number, since it uses less digits than its factorization.

1009741162768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231600 (or 231594 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 1009741162768 in words is "one trillion, nine billion, seven hundred forty-one million, one hundred sixty-two thousand, seven hundred sixty-eight".