14441324040 has 384 divisors, whose sum is σ = 55510116480. Its totient is φ = 3209932800.

The previous prime is 14441324021. The next prime is 14441324041. The reversal of 14441324040 is 4042314441.

14441324040 is a `hidden beast` number, since 1 + 4 + 4 + 413 + 240 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14441323995 and 14441324013.

It is not an unprimeable number, because it can be changed into a prime (14441324041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8390380 + ... + 8392100.

It is an arithmetic number, because the mean of its divisors is an integer number (144557595).

Almost surely, 2^14441324040 is an apocalyptic number.

14441324040 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 14441324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27755058240).

14441324040 is an abundant number, since it is smaller than the sum of its proper divisors (41068792440).

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

14441324040 is a wasteful number, since it uses less digits than its factorization.

14441324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14441324040 its reverse (4042314441), we get a palindrome (18483638481).

The spelling of 14441324040 in words is "fourteen billion, four hundred forty-one million, three hundred twenty-four thousand, forty".