14135242400 has 36 divisors (see below), whose sum is σ = 34507662462. Its totient is φ = 5654096640.

The previous prime is 14135242393. The next prime is 14135242409. The reversal of 14135242400 is 424253141.

It can be written as a sum of positive squares in 3 ways, for example, as 13791214096 + 344028304 = 117436^2 + 18548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14135242400.

It is not an unprimeable number, because it can be changed into a prime (14135242409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8833727 + ... + 8835326.

Almost surely, 2^14135242400 is an apocalyptic number.

14135242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14135242400 is an abundant number, since it is smaller than the sum of its proper divisors (20372420062).

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

14135242400 is a wasteful number, since it uses less digits than its factorization.

14135242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17669073 (or 17669060 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 14135242400 its reverse (424253141), we get a palindrome (14559495541).

The spelling of 14135242400 in words is "fourteen billion, one hundred thirty-five million, two hundred forty-two thousand, four hundred".