1441134200 has 288 divisors, whose sum is σ = 4060990080. Its totient is φ = 473088000.

The previous prime is 1441134193. The next prime is 1441134209. The reversal of 1441134200 is 24311441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441134209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12753344 + ... + 12753456.

It is an arithmetic number, because the mean of its divisors is an integer number (14100660).

Almost surely, 2^1441134200 is an apocalyptic number.

1441134200 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 1441134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030495040).

1441134200 is an abundant number, since it is smaller than the sum of its proper divisors (2619855880).

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

1441134200 is a wasteful number, since it uses less digits than its factorization.

1441134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1441134200 is about 37962.2733776575. The cubic root of 1441134200 is about 1129.5396354808.

Adding to 1441134200 its reverse (24311441), we get a palindrome (1465445641).

The spelling of 1441134200 in words is "one billion, four hundred forty-one million, one hundred thirty-four thousand, two hundred".