1441445200 has 120 divisors (see below), whose sum is σ = 3820989816. Its totient is φ = 519168000.

The previous prime is 1441445197. The next prime is 1441445219. The reversal of 1441445200 is 25441441.

It can be written as a sum of positive squares in 12 ways, for example, as 817045056 + 624400144 = 28584^2 + 24988^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 209820 + ... + 216580.

Almost surely, 2^1441445200 is an apocalyptic number.

1441445200 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 1441445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910494908).

1441445200 is an abundant number, since it is smaller than the sum of its proper divisors (2379544616).

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

1441445200 is a wasteful number, since it uses less digits than its factorization.

1441445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 1441445200 is about 37966.3693286572. The cubic root of 1441445200 is about 1129.6208820342.

Adding to 1441445200 its reverse (25441441), we get a palindrome (1466886641).

The spelling of 1441445200 in words is "one billion, four hundred forty-one million, four hundred forty-five thousand, two hundred".