14440100324104 has 192 divisors, whose sum is σ = 35331918336000. Its totient is φ = 5402389374720.

The previous prime is 14440100324093. The next prime is 14440100324129. The reversal of 14440100324104 is 40142300104441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102604617 + ... + 102745255.

It is an arithmetic number, because the mean of its divisors is an integer number (184020408000).

Almost surely, 2^{14440100324104} is an apocalyptic number.

14440100324104 is a gapful number since it is divisible by the number (14) 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 14440100324104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665959168000).

14440100324104 is an abundant number, since it is smaller than the sum of its proper divisors (20891818011896).

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

14440100324104 is a wasteful number, since it uses less digits than its factorization.

14440100324104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141268 (or 141251 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14440100324104 its reverse (40142300104441), we get a palindrome (54582400428545).

The spelling of 14440100324104 in words is "fourteen trillion, four hundred forty billion, one hundred million, three hundred twenty-four thousand, one hundred four".