1366121881600 has 252 divisors, whose sum is σ = 3940910629974. Its totient is φ = 468381204480.

The previous prime is 1366121881591. The next prime is 1366121881603. The reversal of 1366121881600 is 61881216631.

It can be written as a sum of positive squares in 3 ways, for example, as 1285701996544 + 80419885056 = 1133888^2 + 283584^2 .

It is not an unprimeable number, because it can be changed into a prime (1366121881603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9967134 + ... + 10103266.

Almost surely, 2^{1366121881600} is an apocalyptic number.

1366121881600 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 1366121881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970455314987).

1366121881600 is an abundant number, since it is smaller than the sum of its proper divisors (2574788748374).

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

1366121881600 is an equidigital number, since it uses as much as digits as its factorization.

1366121881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136183 (or 136147 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 1366121881600 in words is "one trillion, three hundred sixty-six billion, one hundred twenty-one million, eight hundred eighty-one thousand, six hundred".