1366394400 has 432 divisors, whose sum is σ = 5753069280. Its totient is φ = 312076800.

The previous prime is 1366394383. The next prime is 1366394411. The reversal of 1366394400 is 44936631.

1366394400 is a `hidden beast` number, since 13 + 6 + 639 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1057755 + ... + 1059045.

It is an arithmetic number, because the mean of its divisors is an integer number (13317290).

Almost surely, 2^1366394400 is an apocalyptic number.

1366394400 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 1366394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876534640).

1366394400 is an abundant number, since it is smaller than the sum of its proper divisors (4386674880).

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

1366394400 is a wasteful number, since it uses less digits than its factorization.

1366394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1366394400 is about 36964.7724191561. The cubic root of 1366394400 is about 1109.6653483497.

The spelling of 1366394400 in words is "one billion, three hundred sixty-six million, three hundred ninety-four thousand, four hundred".