14414203343100 has 288 divisors, whose sum is σ = 48261875542272. Its totient is φ = 3282716160000.

The previous prime is 14414203343093. The next prime is 14414203343143. The reversal of 14414203343100 is 134330241441.

It is a super-2 number, since 2×14414203343100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 30112635 + ... + 30587565.

It is an arithmetic number, because the mean of its divisors is an integer number (167575956744).

Almost surely, 2^{14414203343100} is an apocalyptic number.

14414203343100 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 14414203343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24130937771136).

14414203343100 is an abundant number, since it is smaller than the sum of its proper divisors (33847672199172).

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

14414203343100 is a wasteful number, since it uses less digits than its factorization.

14414203343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475517 (or 475510 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14414203343100 its reverse (134330241441), we get a palindrome (14548533584541).

The spelling of 14414203343100 in words is "fourteen trillion, four hundred fourteen billion, two hundred three million, three hundred forty-three thousand, one hundred".