1366312550400 has 1836 divisors, whose sum is σ = 5973490570944. Its totient is φ = 297271296000.

The previous prime is 1366312550389. The next prime is 1366312550413. The reversal of 1366312550400 is 40552136631.

1366312550400 is a `hidden beast` number, since 1 + 3 + 6 + 63 + 1 + 2 + 550 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22398566370 + ... + 22398566430.

Almost surely, 2^{1366312550400} is an apocalyptic number.

1366312550400 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 1366312550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986745285472).

1366312550400 is an abundant number, since it is smaller than the sum of its proper divisors (4607178020544).

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

1366312550400 is an equidigital number, since it uses as much as digits as its factorization.

1366312550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1366312550400 in words is "one trillion, three hundred sixty-six billion, three hundred twelve million, five hundred fifty thousand, four hundred".