1306066440300 has 144 divisors (see below), whose sum is σ = 3840325682592. Its totient is φ = 342645811200.

The previous prime is 1306066440281. The next prime is 1306066440331. The reversal of 1306066440300 is 30446606031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8619190 + ... + 8769410.

Almost surely, 2^{1306066440300} is an apocalyptic number.

1306066440300 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 1306066440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920162841296).

1306066440300 is an abundant number, since it is smaller than the sum of its proper divisors (2534259242292).

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

1306066440300 is a wasteful number, since it uses less digits than its factorization.

1306066440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150708 (or 150701 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 1306066440300 in words is "one trillion, three hundred six billion, sixty-six million, four hundred forty thousand, three hundred".