1304402312304 has 640 divisors, whose sum is σ = 4798286223360. Its totient is φ = 330100531200.

The previous prime is 1304402312249. The next prime is 1304402312309. The reversal of 1304402312304 is 4032132044031.

1304402312304 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 40 + 2 + 312 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304402312309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98312679 + ... + 98325945.

It is an arithmetic number, because the mean of its divisors is an integer number (7497322224).

Almost surely, 2^{1304402312304} is an apocalyptic number.

1304402312304 is a gapful number since it is divisible by the number (14) 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 1304402312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399143111680).

1304402312304 is an abundant number, since it is smaller than the sum of its proper divisors (3493883911056).

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

1304402312304 is a wasteful number, since it uses less digits than its factorization.

1304402312304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13406 (or 13394 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1304402312304 its reverse (4032132044031), we get a palindrome (5336534356335).

The spelling of 1304402312304 in words is "one trillion, three hundred four billion, four hundred two million, three hundred twelve thousand, three hundred four".