1366448800 has 72 divisors (see below), whose sum is σ = 3390650172. Its totient is φ = 537600000.

The previous prime is 1366448789. The next prime is 1366448819. The reversal of 1366448800 is 88446631.

It can be written as a sum of positive squares in 6 ways, for example, as 244734736 + 1121714064 = 15644^2 + 33492^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34800 + ... + 62800.

Almost surely, 2^1366448800 is an apocalyptic number.

1366448800 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 1366448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695325086).

1366448800 is an abundant number, since it is smaller than the sum of its proper divisors (2024201372).

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

1366448800 is a wasteful number, since it uses less digits than its factorization.

1366448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28082 (or 28069 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 1366448800 is about 36965.5082475542. The cubic root of 1366448800 is about 1109.6800744527.

The spelling of 1366448800 in words is "one billion, three hundred sixty-six million, four hundred forty-eight thousand, eight hundred".