1441200320 has 112 divisors (see below), whose sum is σ = 4028358720. Its totient is φ = 480743424.

The previous prime is 1441200223. The next prime is 1441200337. The reversal of 1441200320 is 230021441.

It is a tau number, because it is divible by the number of its divisors (112).

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, 74186 + ... + 91574.

Almost surely, 2^1441200320 is an apocalyptic number.

1441200320 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 1441200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014179360).

1441200320 is an abundant number, since it is smaller than the sum of its proper divisors (2587158400).

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

1441200320 is a wasteful number, since it uses less digits than its factorization.

1441200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17450 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1441200320 is about 37963.1442322682. The cubic root of 1441200320 is about 1129.5569098421.

Adding to 1441200320 its reverse (230021441), we get a palindrome (1671221761).

The spelling of 1441200320 in words is "one billion, four hundred forty-one million, two hundred thousand, three hundred twenty".