1009378781248 has 56 divisors (see below), whose sum is σ = 2034292981952. Its totient is φ = 496811487744.

The previous prime is 1009378781239. The next prime is 1009378781291. The reversal of 1009378781248 is 8421878739001.

It is a junction number, because it is equal to n+sod(n) for n = 1009378781192 and 1009378781201.

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 7 ways as a sum of consecutive naturals, for example, 6149461 + ... + 6311467.

It is an arithmetic number, because the mean of its divisors is an integer number (36326660392).

Almost surely, 2^{1009378781248} 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 1009378781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017146490976).

1009378781248 is an abundant number, since it is smaller than the sum of its proper divisors (1024914200704).

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

1009378781248 is a wasteful number, since it uses less digits than its factorization.

1009378781248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163539 (or 163529 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The spelling of 1009378781248 in words is "one trillion, nine billion, three hundred seventy-eight million, seven hundred eighty-one thousand, two hundred forty-eight".