1304307934720 has 1280 divisors, whose sum is σ = 4200159744000. Its totient is φ = 385737031680.

The previous prime is 1304307934693. The next prime is 1304307934729. The reversal of 1304307934720 is 274397034031.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304307934729) 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, 9956549055 + ... + 9956549185.

It is an arithmetic number, because the mean of its divisors is an integer number (3281374800).

Almost surely, 2^{1304307934720} is an apocalyptic number.

1304307934720 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 1304307934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100079872000).

1304307934720 is an abundant number, since it is smaller than the sum of its proper divisors (2895851809280).

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

1304307934720 is a wasteful number, since it uses less digits than its factorization.

1304307934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 43.

The spelling of 1304307934720 in words is "one trillion, three hundred four billion, three hundred seven million, nine hundred thirty-four thousand, seven hundred twenty".