1326516400 has 120 divisors (see below), whose sum is σ = 3511632384. Its totient is φ = 477523200.

The previous prime is 1326516281. The next prime is 1326516403. The reversal of 1326516400 is 46156231.

It is not an unprimeable number, because it can be changed into a prime (1326516403) 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 23 ways as a sum of consecutive naturals, for example, 451737 + ... + 454663.

Almost surely, 2^1326516400 is an apocalyptic number.

1326516400 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 1326516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755816192).

1326516400 is an abundant number, since it is smaller than the sum of its proper divisors (2185115984).

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

1326516400 is a wasteful number, since it uses less digits than its factorization.

1326516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1326516400 is about 36421.3728461737. The cubic root of 1326516400 is about 1098.7634589751.

The spelling of 1326516400 in words is "one billion, three hundred twenty-six million, five hundred sixteen thousand, four hundred".