1304414414200 has 96 divisors (see below), whose sum is σ = 3063554544960. Its totient is φ = 516470976000.

The previous prime is 1304414414197. The next prime is 1304414414207. The reversal of 1304414414200 is 24144144031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304414414207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152970337 + ... + 152978863.

It is an arithmetic number, because the mean of its divisors is an integer number (31912026510).

Almost surely, 2^{1304414414200} is an apocalyptic number.

1304414414200 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 1304414414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531777272480).

1304414414200 is an abundant number, since it is smaller than the sum of its proper divisors (1759140130760).

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

1304414414200 is a wasteful number, since it uses less digits than its factorization.

1304414414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1304414414200 its reverse (24144144031), we get a palindrome (1328558558231).

The spelling of 1304414414200 in words is "one trillion, three hundred four billion, four hundred fourteen million, four hundred fourteen thousand, two hundred".