1304243360640 has 384 divisors, whose sum is σ = 4948523798400. Its totient is φ = 313903411200.

The previous prime is 1304243360617. The next prime is 1304243360737. The reversal of 1304243360640 is 460633424031.

1304243360640 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 2 + 4 + 3 + 3 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1304243360640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1304243360595 and 1304243360604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8732995 + ... + 8881085.

It is an arithmetic number, because the mean of its divisors is an integer number (12886780725).

Almost surely, 2^{1304243360640} is an apocalyptic number.

1304243360640 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 1304243360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474261899200).

1304243360640 is an abundant number, since it is smaller than the sum of its proper divisors (3644280437760).

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

1304243360640 is a wasteful number, since it uses less digits than its factorization.

1304243360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148266 (or 148251 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 1304243360640 its reverse (460633424031), we get a palindrome (1764876784671).

The spelling of 1304243360640 in words is "one trillion, three hundred four billion, two hundred forty-three million, three hundred sixty thousand, six hundred forty".