1331214400 has 84 divisors (see below), whose sum is σ = 3381410560. Its totient is φ = 515289600.

The previous prime is 1331214397. The next prime is 1331214439. The reversal of 1331214400 is 44121331.

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, 36181 + ... + 63019.

Almost surely, 2^1331214400 is an apocalyptic number.

1331214400 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 1331214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690705280).

1331214400 is an abundant number, since it is smaller than the sum of its proper divisors (2050196160).

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

1331214400 is a wasteful number, since it uses less digits than its factorization.

1331214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26892 (or 26877 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1331214400 is about 36485.8109406931. The cubic root of 1331214400 is about 1100.0590601898.

Adding to 1331214400 its reverse (44121331), we get a palindrome (1375335731).

The spelling of 1331214400 in words is "one billion, three hundred thirty-one million, two hundred fourteen thousand, four hundred".