432420024120 has 64 divisors (see below), whose sum is σ = 1482582942720. Its totient is φ = 98838862464.

The previous prime is 432420024107. The next prime is 432420024131. The reversal of 432420024120 is 21420024234.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 257392032 + ... + 257393711.

It is an arithmetic number, because the mean of its divisors is an integer number (23165358480).

Almost surely, 2^432420024120 is an apocalyptic number.

432420024120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432420024120 is an abundant number, since it is smaller than the sum of its proper divisors (1050162918600).

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

432420024120 is a wasteful number, since it uses less digits than its factorization.

432420024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514785764 (or 514785760 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 432420024120 its reverse (21420024234), we get a palindrome (453840048354).

The spelling of 432420024120 in words is "four hundred thirty-two billion, four hundred twenty million, twenty-four thousand, one hundred twenty".