14410411214144 has 112 divisors (see below), whose sum is σ = 31529611108800. Its totient is φ = 6480037724160.

The previous prime is 14410411214137. The next prime is 14410411214159. The reversal of 14410411214144 is 44141211401441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14410411214144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174024719 + ... + 174107505.

It is an arithmetic number, because the mean of its divisors is an integer number (281514384900).

Almost surely, 2^{14410411214144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14410411214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764805554400).

14410411214144 is an abundant number, since it is smaller than the sum of its proper divisors (17119199894656).

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

14410411214144 is a wasteful number, since it uses less digits than its factorization.

14410411214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85456 (or 85446 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

Adding to 14410411214144 its reverse (44141211401441), we get a palindrome (58551622615585).

The spelling of 14410411214144 in words is "fourteen trillion, four hundred ten billion, four hundred eleven million, two hundred fourteen thousand, one hundred forty-four".