1009340839040 has 192 divisors, whose sum is σ = 2448396349560. Its totient is φ = 397876789248.

The previous prime is 1009340839037. The next prime is 1009340839093. The reversal of 1009340839040 is 409380439001.

It can be written as a sum of positive squares in 4 ways, for example, as 907385794624 + 101955044416 = 952568^2 + 319304^2 .

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 23 ways as a sum of consecutive naturals, for example, 3444849134 + ... + 3444849426.

Almost surely, 2^{1009340839040} is an apocalyptic number.

1009340839040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009340839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224198174780).

1009340839040 is an abundant number, since it is smaller than the sum of its proper divisors (1439055510520).

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

1009340839040 is an equidigital number, since it uses as much as digits as its factorization.

1009340839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 1009340839040 in words is "one trillion, nine billion, three hundred forty million, eight hundred thirty-nine thousand, forty".