1331340400 has 120 divisors (see below), whose sum is σ = 3458216160. Its totient is φ = 489630720.

The previous prime is 1331340379. The next prime is 1331340403. The reversal of 1331340400 is 40431331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331340403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2615346 + ... + 2615854.

It is an arithmetic number, because the mean of its divisors is an integer number (28818468).

Almost surely, 2^1331340400 is an apocalyptic number.

1331340400 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 1331340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729108080).

1331340400 is an abundant number, since it is smaller than the sum of its proper divisors (2126875760).

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

1331340400 is a wasteful number, since it uses less digits than its factorization.

1331340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1331340400 is about 36487.5375984733. The cubic root of 1331340400 is about 1100.0937661117.

Adding to 1331340400 its reverse (40431331), we get a palindrome (1371771731).

The spelling of 1331340400 in words is "one billion, three hundred thirty-one million, three hundred forty thousand, four hundred".