1329440000 has 180 divisors, whose sum is σ = 3792960864. Its totient is φ = 455424000.

The previous prime is 1329439949. The next prime is 1329440003. The reversal of 1329440000 is 449231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1119407 + ... + 1120593.

Almost surely, 2^1329440000 is an apocalyptic number.

1329440000 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 1329440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896480432).

1329440000 is an abundant number, since it is smaller than the sum of its proper divisors (2463520864).

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

1329440000 is an frugal number, since it uses more digits than its factorization.

1329440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1329440000 is about 36461.4865303103. The cubic root of 1329440000 is about 1099.5700799273.

Adding to 1329440000 its reverse (449231), we get a palindrome (1329889231).

The spelling of 1329440000 in words is "one billion, three hundred twenty-nine million, four hundred forty thousand".