1306339246080 has 1088 divisors, whose sum is σ = 5242504458240. Its totient is φ = 305764761600.

The previous prime is 1306339246061. The next prime is 1306339246087. The reversal of 1306339246080 is 806429336031.

1306339246080 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 3 + 39 + 2 + 4 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1306339246087) 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, 3016949544 + ... + 3016949976.

Almost surely, 2^{1306339246080} is an apocalyptic number.

1306339246080 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 1306339246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621252229120).

1306339246080 is an abundant number, since it is smaller than the sum of its proper divisors (3936165212160).

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

1306339246080 is an equidigital number, since it uses as much as digits as its factorization.

1306339246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1306339246080 in words is "one trillion, three hundred six billion, three hundred thirty-nine million, two hundred forty-six thousand, eighty".