14432400414 has 24 divisors (see below), whose sum is σ = 31295817072. Its totient is φ = 4806859200.

The previous prime is 14432400397. The next prime is 14432400419. The reversal of 14432400414 is 41400423441.

14432400414 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 240 + 0 + 414 = 666.

It is a Curzon number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 305787 + ... + 349814.

It is an arithmetic number, because the mean of its divisors is an integer number (1303992378).

Almost surely, 2^14432400414 is an apocalyptic number.

14432400414 is an abundant number, since it is smaller than the sum of its proper divisors (16863416658).

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

14432400414 is a wasteful number, since it uses less digits than its factorization.

14432400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656832 (or 656829 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14432400414 its reverse (41400423441), we get a palindrome (55832823855).

The spelling of 14432400414 in words is "fourteen billion, four hundred thirty-two million, four hundred thousand, four hundred fourteen".