1366883942400 has 1080 divisors, whose sum is σ = 5253306100224. Its totient is φ = 351947980800.

The previous prime is 1366883942399. The next prime is 1366883942401. The reversal of 1366883942400 is 42493886631.

1366883942400 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 8 + 8 + 394 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1366883942399) and next prime (1366883942401).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366883942401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3085516579 + ... + 3085517021.

Almost surely, 2^{1366883942400} is an apocalyptic number.

1366883942400 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 1366883942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626653050112).

1366883942400 is an abundant number, since it is smaller than the sum of its proper divisors (3886422157824).

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

1366883942400 is an frugal number, since it uses more digits than its factorization.

1366883942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1366883942400 in words is "one trillion, three hundred sixty-six billion, eight hundred eighty-three million, nine hundred forty-two thousand, four hundred".