1331444000 has 96 divisors (see below), whose sum is σ = 3443731200. Its totient is φ = 504518400.

The previous prime is 1331443991. The next prime is 1331444021. The reversal of 1331444000 is 4441331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67241 + ... + 84759.

It is an arithmetic number, because the mean of its divisors is an integer number (35872200).

Almost surely, 2^1331444000 is an apocalyptic number.

1331444000 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 1331444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721865600).

1331444000 is an abundant number, since it is smaller than the sum of its proper divisors (2112287200).

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

1331444000 is a wasteful number, since it uses less digits than its factorization.

1331444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17563 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1331444000 is about 36488.9572336618. The cubic root of 1331444000 is about 1100.1223004514.

Adding to 1331444000 its reverse (4441331), we get a palindrome (1335885331).

The spelling of 1331444000 in words is "one billion, three hundred thirty-one million, four hundred forty-four thousand".