1327334400 has 396 divisors, whose sum is σ = 5438011072. Its totient is φ = 303022080.

The previous prime is 1327334383. The next prime is 1327334401. The reversal of 1327334400 is 44337231.

1327334400 is a `hidden beast` number, since 1 + 327 + 334 + 4 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1327334401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1612389 + ... + 1613211.

Almost surely, 2^1327334400 is an apocalyptic number.

1327334400 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 1327334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719005536).

1327334400 is an abundant number, since it is smaller than the sum of its proper divisors (4110676672).

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

1327334400 is a wasteful number, since it uses less digits than its factorization.

1327334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 1327334400 is about 36432.6007855602. The cubic root of 1327334400 is about 1098.9892644070.

The spelling of 1327334400 in words is "one billion, three hundred twenty-seven million, three hundred thirty-four thousand, four hundred".