1305404600704 has 64 divisors (see below), whose sum is σ = 2672227008000. Its totient is φ = 634855076352.

The previous prime is 1305404600671. The next prime is 1305404600711. The reversal of 1305404600704 is 4070064045031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1305404600704.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 819277 + ... + 1811635.

It is an arithmetic number, because the mean of its divisors is an integer number (41753547000).

Almost surely, 2^{1305404600704} 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 1305404600704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336113504000).

1305404600704 is an abundant number, since it is smaller than the sum of its proper divisors (1366822407296).

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

1305404600704 is an equidigital number, since it uses as much as digits as its factorization.

1305404600704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992655 (or 992643 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 1305404600704 its reverse (4070064045031), we get a palindrome (5375468645735).

The spelling of 1305404600704 in words is "one trillion, three hundred five billion, four hundred four million, six hundred thousand, seven hundred four".