14434403404440 has 512 divisors, whose sum is σ = 45155509862400. Its totient is φ = 3689461923840.

The previous prime is 14434403404423. The next prime is 14434403404459. The reversal of 14434403404440 is 4440430443441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14565492345 + ... + 14565493335.

It is an arithmetic number, because the mean of its divisors is an integer number (88194355200).

Almost surely, 2^{14434403404440} is an apocalyptic number.

14434403404440 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 14434403404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22577754931200).

14434403404440 is an abundant number, since it is smaller than the sum of its proper divisors (30721106457960).

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

14434403404440 is a wasteful number, since it uses less digits than its factorization.

14434403404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 14434403404440 its reverse (4440430443441), we get a palindrome (18874833847881).

The spelling of 14434403404440 in words is "fourteen trillion, four hundred thirty-four billion, four hundred three million, four hundred four thousand, four hundred forty".