1444304340 has 72 divisors (see below), whose sum is σ = 4406475528. Its totient is φ = 382913280.

The previous prime is 1444304333. The next prime is 1444304357. The reversal of 1444304340 is 434034441.

1444304340 is a `hidden beast` number, since 14 + 4 + 4 + 304 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 519292944 + 925011396 = 22788^2 + 30414^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7950 + ... + 54330.

It is an arithmetic number, because the mean of its divisors is an integer number (61201049).

Almost surely, 2^1444304340 is an apocalyptic number.

1444304340 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 1444304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203237764).

1444304340 is an abundant number, since it is smaller than the sum of its proper divisors (2962171188).

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

1444304340 is a wasteful number, since it uses less digits than its factorization.

1444304340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46569 (or 46564 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1444304340 is about 38004.0042627089. The cubic root of 1444304340 is about 1130.3672651721.

Adding to 1444304340 its reverse (434034441), we get a palindrome (1878338781).

The spelling of 1444304340 in words is "one billion, four hundred forty-four million, three hundred four thousand, three hundred forty".