14431412100 has 288 divisors, whose sum is σ = 51516702720. Its totient is φ = 3046095360.

The previous prime is 14431412063. The next prime is 14431412117. The reversal of 14431412100 is 121413441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1395549 + ... + 1405851.

It is an arithmetic number, because the mean of its divisors is an integer number (178877440).

Almost surely, 2^14431412100 is an apocalyptic number.

14431412100 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 14431412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25758351360).

14431412100 is an abundant number, since it is smaller than the sum of its proper divisors (37085290620).

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

14431412100 is a wasteful number, since it uses less digits than its factorization.

14431412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14431412100 its reverse (121413441), we get a palindrome (14552825541).

The spelling of 14431412100 in words is "fourteen billion, four hundred thirty-one million, four hundred twelve thousand, one hundred".