1304431441300 has 72 divisors (see below), whose sum is σ = 3048607189152. Its totient is φ = 481596528000.

The previous prime is 1304431441289. The next prime is 1304431441309. The reversal of 1304431441300 is 31441344031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304431441309) 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, 19168335 + ... + 19236265.

It is an arithmetic number, because the mean of its divisors is an integer number (42341766516).

Almost surely, 2^{1304431441300} is an apocalyptic number.

1304431441300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304431441300 is an abundant number, since it is smaller than the sum of its proper divisors (1744175747852).

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

1304431441300 is a wasteful number, since it uses less digits than its factorization.

1304431441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82729 (or 82722 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1304431441300 its reverse (31441344031), we get a palindrome (1335872785331).

The spelling of 1304431441300 in words is "one trillion, three hundred four billion, four hundred thirty-one million, four hundred forty-one thousand, three hundred".