1305445921920 has 768 divisors, whose sum is σ = 5381718451200. Its totient is φ = 296206626816.

The previous prime is 1305445921907. The next prime is 1305445921921. The reversal of 1305445921920 is 291295445031.

It is a happy number.

1305445921920 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 4 + 459 + 2 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1305445921921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151316647 + ... + 151325273.

It is an arithmetic number, because the mean of its divisors is an integer number (7007445900).

Almost surely, 2^{1305445921920} is an apocalyptic number.

1305445921920 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 1305445921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690859225600).

1305445921920 is an abundant number, since it is smaller than the sum of its proper divisors (4076272529280).

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

1305445921920 is an equidigital number, since it uses as much as digits as its factorization.

1305445921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1305445921920 in words is "one trillion, three hundred five billion, four hundred forty-five million, nine hundred twenty-one thousand, nine hundred twenty".