1307921727744 has 360 divisors, whose sum is σ = 4014862430040. Its totient is φ = 423303708672.

The previous prime is 1307921727733. The next prime is 1307921727769. The reversal of 1307921727744 is 4477271297031.

1307921727744 is a `hidden beast` number, since 1 + 307 + 9 + 21 + 7 + 277 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 616363167744 + 691558560000 = 785088^2 + 831600^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106597642 + ... + 106609910.

It is an arithmetic number, because the mean of its divisors is an integer number (11152395639).

Almost surely, 2^{1307921727744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307921727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007431215020).

1307921727744 is an abundant number, since it is smaller than the sum of its proper divisors (2706940702296).

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

1307921727744 is an equidigital number, since it uses as much as digits as its factorization.

1307921727744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12447 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 1307921727744 in words is "one trillion, three hundred seven billion, nine hundred twenty-one million, seven hundred twenty-seven thousand, seven hundred forty-four".