1331334400 has 108 divisors (see below), whose sum is σ = 3595019904. Its totient is φ = 484096000.

The previous prime is 1331334397. The next prime is 1331334439. The reversal of 1331334400 is 44331331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 60945 + ... + 79855.

Almost surely, 2^1331334400 is an apocalyptic number.

1331334400 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 1331334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797509952).

1331334400 is an abundant number, since it is smaller than the sum of its proper divisors (2263685504).

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

1331334400 is a wasteful number, since it uses less digits than its factorization.

1331334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18948 (or 18929 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1331334400 is about 36487.4553785270. The cubic root of 1331334400 is about 1100.0921134984.

Adding to 1331334400 its reverse (44331331), we get a palindrome (1375665731).

The spelling of 1331334400 in words is "one billion, three hundred thirty-one million, three hundred thirty-four thousand, four hundred".