1297791436800 has 288 divisors, whose sum is σ = 4295757866400. Its totient is φ = 345638830080.

The previous prime is 1297791436793. The next prime is 1297791436817. The reversal of 1297791436800 is 86341977921.

It is a happy number.

It is a super-2 number, since 2×1297791436800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131630271 + ... + 131640129.

It is an arithmetic number, because the mean of its divisors is an integer number (14915825925).

Almost surely, 2^{1297791436800} is an apocalyptic number.

1297791436800 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 1297791436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147878933200).

1297791436800 is an abundant number, since it is smaller than the sum of its proper divisors (2997966429600).

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

1297791436800 is an equidigital number, since it uses as much as digits as its factorization.

1297791436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751 (or 10726 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 1297791436800 in words is "one trillion, two hundred ninety-seven billion, seven hundred ninety-one million, four hundred thirty-six thousand, eight hundred".