1304510400720 has 120 divisors (see below), whose sum is σ = 4386739478472. Its totient is φ = 347412172800.

The previous prime is 1304510400701. The next prime is 1304510400797. The reversal of 1304510400720 is 270040154031.

It can be written as a sum of positive squares in 4 ways, for example, as 135594805824 + 1168915594896 = 368232^2 + 1081164^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 642501 + ... + 1738340.

Almost surely, 2^{1304510400720} is an apocalyptic number.

1304510400720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304510400720 is an abundant number, since it is smaller than the sum of its proper divisors (3082229077752).

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

1304510400720 is a wasteful number, since it uses less digits than its factorization.

1304510400720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381621 (or 2381612 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 1304510400720 its reverse (270040154031), we get a palindrome (1574550554751).

The spelling of 1304510400720 in words is "one trillion, three hundred four billion, five hundred ten million, four hundred thousand, seven hundred twenty".