14012130041100 has 288 divisors, whose sum is σ = 45422017804800. Its totient is φ = 3705526828800.

The previous prime is 14012130041083. The next prime is 14012130041123. The reversal of 14012130041100 is 114003121041.

14012130041100 is a `hidden beast` number, since 1 + 40 + 1 + 213 + 0 + 0 + 411 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175403367 + ... + 175483233.

It is an arithmetic number, because the mean of its divisors is an integer number (157715339600).

Almost surely, 2^{14012130041100} is an apocalyptic number.

14012130041100 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 14012130041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22711008902400).

14012130041100 is an abundant number, since it is smaller than the sum of its proper divisors (31409887763700).

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

14012130041100 is a wasteful number, since it uses less digits than its factorization.

14012130041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80430 (or 80417 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14012130041100 its reverse (114003121041), we get a palindrome (14126133162141).

The spelling of 14012130041100 in words is "fourteen trillion, twelve billion, one hundred thirty million, forty-one thousand, one hundred".