1300200440000 has 560 divisors, whose sum is σ = 4049876624640. Its totient is φ = 402209280000.

The previous prime is 1300200439961. The next prime is 1300200440023. The reversal of 1300200440000 is 440020031.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 428118482 + ... + 428121518.

It is an arithmetic number, because the mean of its divisors is an integer number (7231922544).

Almost surely, 2^{1300200440000} is an apocalyptic number.

1300200440000 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 1300200440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024938312320).

1300200440000 is an abundant number, since it is smaller than the sum of its proper divisors (2749676184640).

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

1300200440000 is a wasteful number, since it uses less digits than its factorization.

1300200440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 1300200440000 its reverse (440020031), we get a palindrome (1300640460031).

The spelling of 1300200440000 in words is "one trillion, three hundred billion, two hundred million, four hundred forty thousand".