1309682799936 has 1344 divisors, whose sum is σ = 4907949096960. Its totient is φ = 338065643520.

The previous prime is 1309682799907. The next prime is 1309682799937. The reversal of 1309682799936 is 6399972869031.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309682799937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3648141325 + ... + 3648141683.

It is an arithmetic number, because the mean of its divisors is an integer number (3651747840).

Almost surely, 2^{1309682799936} is an apocalyptic number.

1309682799936 is a gapful number since it is divisible by the number (16) 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 1309682799936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453974548480).

1309682799936 is an abundant number, since it is smaller than the sum of its proper divisors (3598266297024).

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

1309682799936 is a wasteful number, since it uses less digits than its factorization.

1309682799936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 1309682799936 in words is "one trillion, three hundred nine billion, six hundred eighty-two million, seven hundred ninety-nine thousand, nine hundred thirty-six".