14101201114440 has 256 divisors, whose sum is σ = 46795221504000. Its totient is φ = 3370842900480.

The previous prime is 14101201114417. The next prime is 14101201114489. The reversal of 14101201114440 is 4441110210141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14101201114440.

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 63 ways as a sum of consecutive naturals, for example, 42951631 + ... + 43278689.

It is an arithmetic number, because the mean of its divisors is an integer number (182793834000).

Almost surely, 2^{14101201114440} is an apocalyptic number.

14101201114440 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 14101201114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23397610752000).

14101201114440 is an abundant number, since it is smaller than the sum of its proper divisors (32694020389560).

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

14101201114440 is a wasteful number, since it uses less digits than its factorization.

14101201114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327540 (or 327536 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 14101201114440 its reverse (4441110210141), we get a palindrome (18542311324581).

The spelling of 14101201114440 in words is "fourteen trillion, one hundred one billion, two hundred one million, one hundred fourteen thousand, four hundred forty".