304001001304000 has 1792 divisors, whose sum is σ = 1044699142975488. Its totient is φ = 84575232000000.

The previous prime is 304001001303991. The next prime is 304001001304027. The reversal of 304001001304000 is 403100100403.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34778739630 + ... + 34778748370.

It is an arithmetic number, because the mean of its divisors is an integer number (582979432464).

Almost surely, 2^{304001001304000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304001001304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522349571487744).

304001001304000 is an abundant number, since it is smaller than the sum of its proper divisors (740698141671488).

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

304001001304000 is a wasteful number, since it uses less digits than its factorization.

304001001304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 304001001304000 its reverse (403100100403), we get a palindrome (304404101404403).

The spelling of 304001001304000 in words is "three hundred four trillion, one billion, one million, three hundred four thousand".