14004440352 has 384 divisors, whose sum is σ = 50203238400. Its totient is φ = 3708592128.

The previous prime is 14004440341. The next prime is 14004440357. The reversal of 14004440352 is 25304440041.

It is a happy number.

It is a super-2 number, since 2×14004440352² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14004440357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5399568 + ... + 5402160.

It is an arithmetic number, because the mean of its divisors is an integer number (130737600).

Almost surely, 2^14004440352 is an apocalyptic number.

14004440352 is a gapful number since it is divisible by the number (12) 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 14004440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101619200).

14004440352 is an abundant number, since it is smaller than the sum of its proper divisors (36198798048).

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

14004440352 is a wasteful number, since it uses less digits than its factorization.

14004440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14004440352 its reverse (25304440041), we get a palindrome (39308880393).

The spelling of 14004440352 in words is "fourteen billion, four million, four hundred forty thousand, three hundred fifty-two".