1297307404800 has 1440 divisors, whose sum is σ = 5312439982080. Its totient is φ = 313677619200.

The previous prime is 1297307404781. The next prime is 1297307404807. The reversal of 1297307404800 is 84047037921.

1297307404800 is a `hidden beast` number, since 12 + 97 + 3 + 0 + 74 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1297307404800² (a number of 25 digits) contains 22 as substring.

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 (1297307404807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3387225409 + ... + 3387225791.

It is an arithmetic number, because the mean of its divisors is an integer number (3689194432).

Almost surely, 2^{1297307404800} is an apocalyptic number.

1297307404800 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 1297307404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656219991040).

1297307404800 is an abundant number, since it is smaller than the sum of its proper divisors (4015132577280).

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

1297307404800 is an frugal number, since it uses more digits than its factorization.

1297307404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1297307404800 in words is "one trillion, two hundred ninety-seven billion, three hundred seven million, four hundred four thousand, eight hundred".