1306443120480 has 384 divisors, whose sum is σ = 4632642201600. Its totient is φ = 343815708672.

The previous prime is 1306443120467. The next prime is 1306443120487. The reversal of 1306443120480 is 840213446031.

1306443120480 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 443 + 1 + 204 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306443120487) 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, 533894617 + ... + 533897063.

It is an arithmetic number, because the mean of its divisors is an integer number (12064172400).

Almost surely, 2^{1306443120480} is an apocalyptic number.

1306443120480 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 1306443120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316321100800).

1306443120480 is an abundant number, since it is smaller than the sum of its proper divisors (3326199081120).

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

1306443120480 is a wasteful number, since it uses less digits than its factorization.

1306443120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1306443120480 in words is "one trillion, three hundred six billion, four hundred forty-three million, one hundred twenty thousand, four hundred eighty".