1298796436800 has 1008 divisors, whose sum is σ = 5284778091840. Its totient is φ = 300429803520.

The previous prime is 1298796436709. The next prime is 1298796436807. The reversal of 1298796436800 is 86346978921.

1298796436800 is a `hidden beast` number, since 129 + 8 + 79 + 6 + 436 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1298796436807) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 172090627 + ... + 172098173.

Almost surely, 2^{1298796436800} is an apocalyptic number.

1298796436800 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 1298796436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642389045920).

1298796436800 is an abundant number, since it is smaller than the sum of its proper divisors (3985981655040).

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

1298796436800 is a wasteful number, since it uses less digits than its factorization.

1298796436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1298796436800 in words is "one trillion, two hundred ninety-eight billion, seven hundred ninety-six million, four hundred thirty-six thousand, eight hundred".