1441412320 has 96 divisors (see below), whose sum is σ = 3618802656. Its totient is φ = 540672000.

The previous prime is 1441412311. The next prime is 1441412321. The reversal of 1441412320 is 232141441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1441412291 and 1441412300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441412321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 899520 + ... + 901120.

It is an arithmetic number, because the mean of its divisors is an integer number (37695861).

Almost surely, 2^1441412320 is an apocalyptic number.

1441412320 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 1441412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809401328).

1441412320 is an abundant number, since it is smaller than the sum of its proper divisors (2177390336).

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

1441412320 is a wasteful number, since it uses less digits than its factorization.

1441412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1441412320 is about 37965.9363113831. The cubic root of 1441412320 is about 1129.6122929189.

Adding to 1441412320 its reverse (232141441), we get a palindrome (1673553761).

The spelling of 1441412320 in words is "one billion, four hundred forty-one million, four hundred twelve thousand, three hundred twenty".