14271402400 has 36 divisors (see below), whose sum is σ = 34840063062. Its totient is φ = 5708560640.

The previous prime is 14271402391. The next prime is 14271402401. The reversal of 14271402400 is 420417241.

It can be written as a sum of positive squares in 3 ways, for example, as 12006023184 + 2265379216 = 109572^2 + 47596^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14271402401) 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 5 ways as a sum of consecutive naturals, for example, 8918827 + ... + 8920426.

Almost surely, 2^14271402400 is an apocalyptic number.

14271402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14271402400 is an abundant number, since it is smaller than the sum of its proper divisors (20568660662).

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

14271402400 is a wasteful number, since it uses less digits than its factorization.

14271402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17839273 (or 17839260 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

Adding to 14271402400 its reverse (420417241), we get a palindrome (14691819641).

The spelling of 14271402400 in words is "fourteen billion, two hundred seventy-one million, four hundred two thousand, four hundred".