1306744496640 has 640 divisors, whose sum is σ = 5071586826240. Its totient is φ = 316289433600.

The previous prime is 1306744496633. The next prime is 1306744496671. The reversal of 1306744496640 is 466944476031.

1306744496640 is a `hidden beast` number, since 1 + 30 + 6 + 74 + 449 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 783889087 + ... + 783890753.

It is an arithmetic number, because the mean of its divisors is an integer number (7924354416).

Almost surely, 2^{1306744496640} is an apocalyptic number.

1306744496640 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 1306744496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535793413120).

1306744496640 is an abundant number, since it is smaller than the sum of its proper divisors (3764842329600).

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

1306744496640 is a wasteful number, since it uses less digits than its factorization.

1306744496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 1306744496640 in words is "one trillion, three hundred six billion, seven hundred forty-four million, four hundred ninety-six thousand, six hundred forty".