14424032434100 has 72 divisors (see below), whose sum is σ = 32141240750808. Its totient is φ = 5616523468800.

The previous prime is 14424032434079. The next prime is 14424032434109. The reversal of 14424032434100 is 143423042441.

It can be written as a sum of positive squares in 12 ways, for example, as 6399979113124 + 8024053320976 = 2529818^2 + 2832676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424032434109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11596937 + ... + 12780336.

It is an arithmetic number, because the mean of its divisors is an integer number (446406121539).

Almost surely, 2^{14424032434100} is an apocalyptic number.

14424032434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14424032434100 is an abundant number, since it is smaller than the sum of its proper divisors (17717208316708).

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

14424032434100 is a wasteful number, since it uses less digits than its factorization.

14424032434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24377445 (or 24377438 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14424032434100 its reverse (143423042441), we get a palindrome (14567455476541).

The spelling of 14424032434100 in words is "fourteen trillion, four hundred twenty-four billion, thirty-two million, four hundred thirty-four thousand, one hundred".