1309978608640 has 704 divisors, whose sum is σ = 3847783564800. Its totient is φ = 422917963776.

The previous prime is 1309978608607. The next prime is 1309978608641. The reversal of 1309978608640 is 468068799031.

It is not an unprimeable number, because it can be changed into a prime (1309978608641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 843514104 + ... + 843515656.

Almost surely, 2^{1309978608640} is an apocalyptic number.

1309978608640 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 1309978608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923891782400).

1309978608640 is an abundant number, since it is smaller than the sum of its proper divisors (2537804956160).

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

1309978608640 is a wasteful number, since it uses less digits than its factorization.

1309978608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 1309978608640 in words is "one trillion, three hundred nine billion, nine hundred seventy-eight million, six hundred eight thousand, six hundred forty".