14204030400 has 1008 divisors, whose sum is σ = 63559431936. Its totient is φ = 3045703680.

The previous prime is 14204030389. The next prime is 14204030419. The reversal of 14204030400 is 403040241.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46267047 + ... + 46267353.

It is an arithmetic number, because the mean of its divisors is an integer number (63054992).

Almost surely, 2^14204030400 is an apocalyptic number.

14204030400 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 14204030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31779715968).

14204030400 is an abundant number, since it is smaller than the sum of its proper divisors (49355401536).

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

14204030400 is a wasteful number, since it uses less digits than its factorization.

14204030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 14204030400 its reverse (403040241), we get a palindrome (14607070641).

The spelling of 14204030400 in words is "fourteen billion, two hundred four million, thirty thousand, four hundred".