14104106400 has 144 divisors (see below), whose sum is σ = 45949184064. Its totient is φ = 3757793280.

The previous prime is 14104106381. The next prime is 14104106411. The reversal of 14104106400 is 460140141.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4071069 + ... + 4074531.

It is an arithmetic number, because the mean of its divisors is an integer number (319091556).

Almost surely, 2^14104106400 is an apocalyptic number.

14104106400 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 14104106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22974592032).

14104106400 is an abundant number, since it is smaller than the sum of its proper divisors (31845077664).

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

14104106400 is a wasteful number, since it uses less digits than its factorization.

14104106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5170 counting only the distinct ones).

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

Adding to 14104106400 its reverse (460140141), we get a palindrome (14564246541).

The spelling of 14104106400 in words is "fourteen billion, one hundred four million, one hundred six thousand, four hundred".