14104010400 has 144 divisors (see below), whose sum is σ = 46271038464. Its totient is φ = 3731374080.

The previous prime is 14104010399. The next prime is 14104010411. The reversal of 14104010400 is 401040141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14104010400.

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, 281664 + ... + 327936.

It is an arithmetic number, because the mean of its divisors is an integer number (321326656).

Almost surely, 2^14104010400 is an apocalyptic number.

14104010400 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 14104010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23135519232).

14104010400 is an abundant number, since it is smaller than the sum of its proper divisors (32167028064).

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

14104010400 is a wasteful number, since it uses less digits than its factorization.

14104010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46423 (or 46410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14104010400 its reverse (401040141), we get a palindrome (14505050541).

The spelling of 14104010400 in words is "fourteen billion, one hundred four million, ten thousand, four hundred".