1441412000 has 96 divisors (see below), whose sum is σ = 4047563520. Its totient is φ = 494188800.

The previous prime is 1441411913. The next prime is 1441412033. The reversal of 1441412000 is 2141441.

1441412000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1441412000.

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, 2261 + ... + 53739.

It is an arithmetic number, because the mean of its divisors is an integer number (42162120).

Almost surely, 2^1441412000 is an apocalyptic number.

1441412000 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 1441412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023781760).

1441412000 is an abundant number, since it is smaller than the sum of its proper divisors (2606151520).

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

1441412000 is an equidigital number, since it uses as much as digits as its factorization.

1441412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51511 (or 51493 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1441412000 is about 37965.9320970788. The cubic root of 1441412000 is about 1129.6122093259.

Adding to 1441412000 its reverse (2141441), we get a palindrome (1443553441).

The spelling of 1441412000 in words is "one billion, four hundred forty-one million, four hundred twelve thousand".