1306220045760 has 1344 divisors, whose sum is σ = 5620039925760. Its totient is φ = 271631646720.

The previous prime is 1306220045719. The next prime is 1306220045813. The reversal of 1306220045760 is 675400226031.

1306220045760 is a `hidden beast` number, since 1 + 3 + 0 + 62 + 20 + 0 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3030672745 + ... + 3030673175.

Almost surely, 2^{1306220045760} is an apocalyptic number.

1306220045760 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 1306220045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810019962880).

1306220045760 is an abundant number, since it is smaller than the sum of its proper divisors (4313819880000).

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

1306220045760 is a wasteful number, since it uses less digits than its factorization.

1306220045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1306220045760 in words is "one trillion, three hundred six billion, two hundred twenty million, forty-five thousand, seven hundred sixty".