432132403140 has 480 divisors, whose sum is σ = 1429660108800. Its totient is φ = 109130250240.

The previous prime is 432132403139. The next prime is 432132403147. The reversal of 432132403140 is 41304231234.

432132403140 is a `hidden beast` number, since 4 + 3 + 21 + 324 + 0 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (432132403147) 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 159 ways as a sum of consecutive naturals, for example, 487183777 + ... + 487184663.

It is an arithmetic number, because the mean of its divisors is an integer number (2978458560).

Almost surely, 2^432132403140 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 432132403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714830054400).

432132403140 is an abundant number, since it is smaller than the sum of its proper divisors (997527705660).

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

432132403140 is a wasteful number, since it uses less digits than its factorization.

432132403140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 432132403140 its reverse (41304231234), we get a palindrome (473436634374).

The spelling of 432132403140 in words is "four hundred thirty-two billion, one hundred thirty-two million, four hundred three thousand, one hundred forty".