1294491268800 has 252 divisors, whose sum is σ = 4618045252080. Its totient is φ = 343913379840.

The previous prime is 1294491268789. The next prime is 1294491268831. The reversal of 1294491268800 is 88621944921.

It is a happy number.

1294491268800 is a `hidden beast` number, since 1 + 2 + 94 + 491 + 2 + 68 + 8 + 0 + 0 = 666.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3706509 + ... + 4040691.

Almost surely, 2^{1294491268800} is an apocalyptic number.

1294491268800 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 1294491268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309022626040).

1294491268800 is an abundant number, since it is smaller than the sum of its proper divisors (3323553983280).

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

1294491268800 is a wasteful number, since it uses less digits than its factorization.

1294491268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334480 (or 334462 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1294491268800 in words is "one trillion, two hundred ninety-four billion, four hundred ninety-one million, two hundred sixty-eight thousand, eight hundred".