1441204128 has 288 divisors, whose sum is σ = 5095673856. Its totient is φ = 376233984.

The previous prime is 1441204021. The next prime is 1441204133. The reversal of 1441204128 is 8214021441.

1441204128 is a `hidden beast` number, since 1 + 441 + 204 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3328200 + ... + 3328632.

It is an arithmetic number, because the mean of its divisors is an integer number (17693312).

Almost surely, 2^1441204128 is an apocalyptic number.

1441204128 is a gapful number since it is divisible by the number (18) 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 1441204128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547836928).

1441204128 is an abundant number, since it is smaller than the sum of its proper divisors (3654469728).

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

1441204128 is a wasteful number, since it uses less digits than its factorization.

1441204128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1441204128 is about 37963.1943861420. The cubic root of 1441204128 is about 1129.5579046954.

Adding to 1441204128 its reverse (8214021441), we get a palindrome (9655225569).

The spelling of 1441204128 in words is "one billion, four hundred forty-one million, two hundred four thousand, one hundred twenty-eight".