432424134144 has 80 divisors (see below), whose sum is σ = 1280005507440. Its totient is φ = 144141373440.

The previous prime is 432424134097. The next prime is 432424134151. The reversal of 432424134144 is 441431424234.

432424134144 is a `hidden beast` number, since 4 + 32 + 4 + 241 + 341 + 44 = 666.

It is a super-2 number, since 2×432424134144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 432424134099 and 432424134108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15626517 + ... + 15654164.

It is an arithmetic number, because the mean of its divisors is an integer number (16000068843).

Almost surely, 2^432424134144 is an apocalyptic number.

It is an amenable number.

432424134144 is an abundant number, since it is smaller than the sum of its proper divisors (847581373296).

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

432424134144 is an equidigital number, since it uses as much as digits as its factorization.

432424134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31280708 (or 31280686 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 432424134144 its reverse (441431424234), we get a palindrome (873855558378).

The spelling of 432424134144 in words is "four hundred thirty-two billion, four hundred twenty-four million, one hundred thirty-four thousand, one hundred forty-four".