14200410400 has 72 divisors (see below), whose sum is σ = 37818298224. Its totient is φ = 5163782400.

The previous prime is 14200410391. The next prime is 14200410401. The reversal of 14200410400 is 401400241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14200410401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798042 + ... + 815641.

It is an arithmetic number, because the mean of its divisors is an integer number (525254142).

Almost surely, 2^14200410400 is an apocalyptic number.

14200410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14200410400 is an abundant number, since it is smaller than the sum of its proper divisors (23617887824).

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

14200410400 is a wasteful number, since it uses less digits than its factorization.

14200410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613714 (or 1613701 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14200410400 its reverse (401400241), we get a palindrome (14601810641).

The spelling of 14200410400 in words is "fourteen billion, two hundred million, four hundred ten thousand, four hundred".