1300404525200 has 240 divisors, whose sum is σ = 3488148619200. Its totient is φ = 461916364800.

The previous prime is 1300404525197. The next prime is 1300404525241. The reversal of 1300404525200 is 25254040031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1300404525200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32482796 + ... + 32522804.

It is an arithmetic number, because the mean of its divisors is an integer number (14533952580).

Almost surely, 2^{1300404525200} is an apocalyptic number.

1300404525200 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 1300404525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744074309600).

1300404525200 is an abundant number, since it is smaller than the sum of its proper divisors (2187744094000).

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

1300404525200 is a wasteful number, since it uses less digits than its factorization.

1300404525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40210 (or 40199 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 1300404525200 its reverse (25254040031), we get a palindrome (1325658565231).

The spelling of 1300404525200 in words is "one trillion, three hundred billion, four hundred four million, five hundred twenty-five thousand, two hundred".