1304198400960 has 1792 divisors, whose sum is σ = 5933497221120. Its totient is φ = 262288834560.

The previous prime is 1304198400871. The next prime is 1304198400961. The reversal of 1304198400960 is 690048914031.

1304198400960 is a `hidden beast` number, since 1 + 30 + 41 + 98 + 400 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304198400961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1779260754 + ... + 1779261486.

It is an arithmetic number, because the mean of its divisors is an integer number (3311103360).

Almost surely, 2^{1304198400960} is an apocalyptic number.

1304198400960 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 1304198400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966748610560).

1304198400960 is an abundant number, since it is smaller than the sum of its proper divisors (4629298820160).

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

1304198400960 is a wasteful number, since it uses less digits than its factorization.

1304198400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1304198400960 in words is "one trillion, three hundred four billion, one hundred ninety-eight million, four hundred thousand, nine hundred sixty".