1304240289408 has 640 divisors, whose sum is σ = 4756626547200. Its totient is φ = 346254704640.

The previous prime is 1304240289361. The next prime is 1304240289427. The reversal of 1304240289408 is 8049820424031.

1304240289408 is a `hidden beast` number, since 1 + 304 + 24 + 0 + 289 + 40 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97462878 + ... + 97476258.

It is an arithmetic number, because the mean of its divisors is an integer number (7432228980).

Almost surely, 2^{1304240289408} is an apocalyptic number.

1304240289408 is a gapful number since it is divisible by the number (18) 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 1304240289408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378313273600).

1304240289408 is an abundant number, since it is smaller than the sum of its proper divisors (3452386257792).

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

1304240289408 is a wasteful number, since it uses less digits than its factorization.

1304240289408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13510 (or 13489 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1304240289408 in words is "one trillion, three hundred four billion, two hundred forty million, two hundred eighty-nine thousand, four hundred eight".