432108140544 has 288 divisors, whose sum is σ = 1276781425920. Its totient is φ = 140750438400.

The previous prime is 432108140537. The next prime is 432108140567. The reversal of 432108140544 is 445041801234.

432108140544 is a `hidden beast` number, since 4 + 3 + 2 + 108 + 1 + 4 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 432108140499 and 432108140508.

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 23 ways as a sum of consecutive naturals, for example, 161776329 + ... + 161778999.

It is an arithmetic number, because the mean of its divisors is an integer number (4433268840).

Almost surely, 2^432108140544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432108140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638390712960).

432108140544 is an abundant number, since it is smaller than the sum of its proper divisors (844673285376).

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

432108140544 is a wasteful number, since it uses less digits than its factorization.

432108140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 432108140544 its reverse (445041801234), we get a palindrome (877149941778).

The spelling of 432108140544 in words is "four hundred thirty-two billion, one hundred eight million, one hundred forty thousand, five hundred forty-four".