14041444133340 has 240 divisors, whose sum is σ = 47906558108640. Its totient is φ = 3422133619200.

The previous prime is 14041444133279. The next prime is 14041444133351. The reversal of 14041444133340 is 4333144414041.

14041444133340 is a `hidden beast` number, since 1 + 4 + 0 + 41 + 444 + 133 + 3 + 40 = 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 = 14041444133295 and 14041444133304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1173610 + ... + 5427729.

It is an arithmetic number, because the mean of its divisors is an integer number (199610658786).

Almost surely, 2^{14041444133340} is an apocalyptic number.

14041444133340 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 14041444133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23953279054320).

14041444133340 is an abundant number, since it is smaller than the sum of its proper divisors (33865113975300).

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

14041444133340 is a wasteful number, since it uses less digits than its factorization.

14041444133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601474 (or 6601463 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14041444133340 its reverse (4333144414041), we get a palindrome (18374588547381).

The spelling of 14041444133340 in words is "fourteen trillion, forty-one billion, four hundred forty-four million, one hundred thirty-three thousand, three hundred forty".