1366242508800 has 2160 divisors, whose sum is σ = 5888906210880. Its totient is φ = 309162147840.

The previous prime is 1366242508793. The next prime is 1366242508847. The reversal of 1366242508800 is 88052426631.

1366242508800 is a `hidden beast` number, since 1 + 3 + 6 + 62 + 4 + 2 + 508 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31773081579 + ... + 31773081621.

It is an arithmetic number, because the mean of its divisors is an integer number (2726345468).

Almost surely, 2^{1366242508800} is an apocalyptic number.

1366242508800 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 1366242508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944453105440).

1366242508800 is an abundant number, since it is smaller than the sum of its proper divisors (4522663702080).

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

1366242508800 is a wasteful number, since it uses less digits than its factorization.

1366242508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1366242508800 in words is "one trillion, three hundred sixty-six billion, two hundred forty-two million, five hundred eight thousand, eight hundred".