1304404402000 has 240 divisors, whose sum is σ = 3672356128272. Its totient is φ = 446814950400.

The previous prime is 1304404401991. The next prime is 1304404402039. The reversal of 1304404402000 is 2044044031.

It can be written as a sum of positive squares in 8 ways, for example, as 755418245904 + 548986156096 = 869148^2 + 740936^2 .

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 47 ways as a sum of consecutive naturals, for example, 118868514 + ... + 118879486.

Almost surely, 2^{1304404402000} is an apocalyptic number.

1304404402000 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 1304404402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836178064136).

1304404402000 is an abundant number, since it is smaller than the sum of its proper divisors (2367951726272).

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

1304404402000 is a wasteful number, since it uses less digits than its factorization.

1304404402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223 (or 12200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 1304404402000 its reverse (2044044031), we get a palindrome (1306448446031).

The spelling of 1304404402000 in words is "one trillion, three hundred four billion, four hundred four million, four hundred two thousand".