1441324416 has 256 divisors, whose sum is σ = 4621824000. Its totient is φ = 397393920.

The previous prime is 1441324411. The next prime is 1441324429. The reversal of 1441324416 is 6144231441.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441324411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4082896 + ... + 4083248.

It is an arithmetic number, because the mean of its divisors is an integer number (18054000).

Almost surely, 2^1441324416 is an apocalyptic number.

1441324416 is a gapful number since it is divisible by the number (16) 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 1441324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310912000).

1441324416 is an abundant number, since it is smaller than the sum of its proper divisors (3180499584).

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

1441324416 is an equidigital number, since it uses as much as digits as its factorization.

1441324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 396 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 1441324416 is about 37964.7786244040. The cubic root of 1441324416 is about 1129.5893294554.

Adding to 1441324416 its reverse (6144231441), we get a palindrome (7585555857).

The spelling of 1441324416 in words is "one billion, four hundred forty-one million, three hundred twenty-four thousand, four hundred sixteen".