14004050100000 has 288 divisors, whose sum is σ = 46095897923712. Its totient is φ = 3722380800000.

The previous prime is 14004050099993. The next prime is 14004050100013. The reversal of 14004050100000 is 105040041.

It is a super-2 number, since 2×14004050100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93224952 + ... + 93375048.

It is an arithmetic number, because the mean of its divisors is an integer number (160055201124).

Almost surely, 2^{14004050100000} is an apocalyptic number.

14004050100000 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 14004050100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23047948961856).

14004050100000 is an abundant number, since it is smaller than the sum of its proper divisors (32091847823712).

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

14004050100000 is an equidigital number, since it uses as much as digits as its factorization.

14004050100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150446 (or 150418 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14004050100000 its reverse (105040041), we get a palindrome (14004155140041).

The spelling of 14004050100000 in words is "fourteen trillion, four billion, fifty million, one hundred thousand".