1304434421200 has 30 divisors (see below), whose sum is σ = 3133903697894. Its totient is φ = 521773768320.

The previous prime is 1304434421113. The next prime is 1304434421239. The reversal of 1304434421200 is 21244344031.

It can be written as a sum of positive squares in 3 ways, for example, as 24332256144 + 1280102165056 = 155988^2 + 1131416^2 .

It is a super-2 number, since 2×1304434421200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1630542627 + ... + 1630543426.

Almost surely, 2^{1304434421200} is an apocalyptic number.

1304434421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304434421200 is an abundant number, since it is smaller than the sum of its proper divisors (1829469276694).

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

1304434421200 is a wasteful number, since it uses less digits than its factorization.

1304434421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261086071 (or 3261086060 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1304434421200 its reverse (21244344031), we get a palindrome (1325678765231).

The spelling of 1304434421200 in words is "one trillion, three hundred four billion, four hundred thirty-four million, four hundred twenty-one thousand, two hundred".