14432400411 has 48 divisors (see below), whose sum is σ = 22799117952. Its totient is φ = 8050099200.

The previous prime is 14432400397. The next prime is 14432400419. The reversal of 14432400411 is 11400423441.

It is not a de Polignac number, because 14432400411 - 2⁹ = 14432399899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14432400419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1965016 + ... + 1972346.

It is an arithmetic number, because the mean of its divisors is an integer number (474981624).

Almost surely, 2^14432400411 is an apocalyptic number.

14432400411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14432400411 is a deficient number, since it is larger than the sum of its proper divisors (8366717541).

14432400411 is a wasteful number, since it uses less digits than its factorization.

14432400411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7724 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14432400411 its reverse (11400423441), we get a palindrome (25832823852).

The spelling of 14432400411 in words is "fourteen billion, four hundred thirty-two million, four hundred thousand, four hundred eleven".