14400201254231 has 64 divisors (see below), whose sum is σ = 16270238638080. Its totient is φ = 12653398894080.

The previous prime is 14400201254191. The next prime is 14400201254279. The reversal of 14400201254231 is 13245210200441.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-14400201254231 is a prime.

It is a super-2 number, since 2×14400201254231² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14400201254194 and 14400201254203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14400201259231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9684061970 + ... + 9684063456.

It is an arithmetic number, because the mean of its divisors is an integer number (254222478720).

Almost surely, 2^{14400201254231} is an apocalyptic number.

14400201254231 is a deficient number, since it is larger than the sum of its proper divisors (1870037383849).

14400201254231 is a wasteful number, since it uses less digits than its factorization.

14400201254231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 14400201254231 its reverse (13245210200441), we get a palindrome (27645411454672).

The spelling of 14400201254231 in words is "fourteen trillion, four hundred billion, two hundred one million, two hundred fifty-four thousand, two hundred thirty-one".