1266301440000 has 1560 divisors, whose sum is σ = 5011748470872. Its totient is φ = 306708480000.

The previous prime is 1266301439959. The next prime is 1266301440077. The reversal of 1266301440000 is 441036621.

1266301440000 is a `hidden beast` number, since 1 + 26 + 630 + 1 + 4 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 1260284645376 + 6016794624 = 1122624^2 + 77568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20759039970 + ... + 20759040030.

Almost surely, 2^{1266301440000} is an apocalyptic number.

1266301440000 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 1266301440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505874235436).

1266301440000 is an abundant number, since it is smaller than the sum of its proper divisors (3745447030872).

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

1266301440000 is an equidigital number, since it uses as much as digits as its factorization.

1266301440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1266301440000 its reverse (441036621), we get a palindrome (1266742476621).

The spelling of 1266301440000 in words is "one trillion, two hundred sixty-six billion, three hundred one million, four hundred forty thousand".