1300344128160 has 768 divisors, whose sum is σ = 5500726640640. Its totient is φ = 250021416960.

The previous prime is 1300344128159. The next prime is 1300344128219. The reversal of 1300344128160 is 618214430031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30174789 + ... + 30217851.

It is an arithmetic number, because the mean of its divisors is an integer number (7162404480).

Almost surely, 2^{1300344128160} is an apocalyptic number.

1300344128160 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 1300344128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750363320320).

1300344128160 is an abundant number, since it is smaller than the sum of its proper divisors (4200382512480).

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

1300344128160 is a wasteful number, since it uses less digits than its factorization.

1300344128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43161 (or 43153 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 1300344128160 its reverse (618214430031), we get a palindrome (1918558558191).

The spelling of 1300344128160 in words is "one trillion, three hundred billion, three hundred forty-four million, one hundred twenty-eight thousand, one hundred sixty".