1304442312000 has 448 divisors, whose sum is σ = 4376391552000. Its totient is φ = 342299443200.

The previous prime is 1304442311987. The next prime is 1304442312001. The reversal of 1304442312000 is 2132444031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304442312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669287026 + ... + 669288974.

Almost surely, 2^{1304442312000} is an apocalyptic number.

1304442312000 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 1304442312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188195776000).

1304442312000 is an abundant number, since it is smaller than the sum of its proper divisors (3071949240000).

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

1304442312000 is a wasteful number, since it uses less digits than its factorization.

1304442312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1304442312000 its reverse (2132444031), we get a palindrome (1306574756031).

The spelling of 1304442312000 in words is "one trillion, three hundred four billion, four hundred forty-two million, three hundred twelve thousand".