14044234303440 has 960 divisors, whose sum is σ = 55095435952128. Its totient is φ = 3173951692800.

The previous prime is 14044234303361. The next prime is 14044234303459. The reversal of 14044234303440 is 4430343244041.

14044234303440 is a `hidden beast` number, since 1 + 40 + 44 + 234 + 3 + 0 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14044234303395 and 14044234303404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 770678169 + ... + 770696391.

Almost surely, 2^{14044234303440} is an apocalyptic number.

14044234303440 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 14044234303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27547717976064).

14044234303440 is an abundant number, since it is smaller than the sum of its proper divisors (41051201648688).

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

14044234303440 is a wasteful number, since it uses less digits than its factorization.

14044234303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18400 (or 18391 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 14044234303440 its reverse (4430343244041), we get a palindrome (18474577547481).

The spelling of 14044234303440 in words is "fourteen trillion, forty-four billion, two hundred thirty-four million, three hundred three thousand, four hundred forty".