14424414021100 has 72 divisors (see below), whose sum is σ = 33715500069888. Its totient is φ = 5340876974400.

The previous prime is 14424414021071. The next prime is 14424414021133. The reversal of 14424414021100 is 112041442441.

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 23 ways as a sum of consecutive naturals, for example, 101081674 + ... + 101224273.

It is an arithmetic number, because the mean of its divisors is an integer number (468270834304).

Almost surely, 2^{14424414021100} is an apocalyptic number.

14424414021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14424414021100 is an abundant number, since it is smaller than the sum of its proper divisors (19291086048788).

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

14424414021100 is a wasteful number, since it uses less digits than its factorization.

14424414021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202306015 (or 202306008 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14424414021100 its reverse (112041442441), we get a palindrome (14536455463541).

The spelling of 14424414021100 in words is "fourteen trillion, four hundred twenty-four billion, four hundred fourteen million, twenty-one thousand, one hundred".