14001204431214 has 320 divisors, whose sum is σ = 42167947852800. Its totient is φ = 3353372628480.

The previous prime is 14001204431213. The next prime is 14001204431219. The reversal of 14001204431214 is 41213440210041.

14001204431214 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 2 + 0 + 443 + 1 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001204431213) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 154495087 + ... + 154585685.

It is an arithmetic number, because the mean of its divisors is an integer number (131774837040).

Almost surely, 2^{14001204431214} is an apocalyptic number.

14001204431214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14001204431214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21083973926400).

14001204431214 is an abundant number, since it is smaller than the sum of its proper divisors (28166743421586).

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

14001204431214 is a wasteful number, since it uses less digits than its factorization.

14001204431214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91597 (or 91588 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14001204431214 its reverse (41213440210041), we get a palindrome (55214644641255).

The spelling of 14001204431214 in words is "fourteen trillion, one billion, two hundred four million, four hundred thirty-one thousand, two hundred fourteen".