1306840112640 has 960 divisors, whose sum is σ = 4959229017600. Its totient is φ = 316779724800.

The previous prime is 1306840112581. The next prime is 1306840112647. The reversal of 1306840112640 is 462110486031.

1306840112640 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 8 + 4 + 0 + 1 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1306840112595 and 1306840112604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306840112647) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3948157275 + ... + 3948157605.

It is an arithmetic number, because the mean of its divisors is an integer number (5165863560).

Almost surely, 2^{1306840112640} is an apocalyptic number.

1306840112640 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 1306840112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479614508800).

1306840112640 is an abundant number, since it is smaller than the sum of its proper divisors (3652388904960).

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

1306840112640 is a wasteful number, since it uses less digits than its factorization.

1306840112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 1306840112640 its reverse (462110486031), we get a palindrome (1768950598671).

The spelling of 1306840112640 in words is "one trillion, three hundred six billion, eight hundred forty million, one hundred twelve thousand, six hundred forty".