432204505440 has 48 divisors (see below), whose sum is σ = 1361444193648. Its totient is φ = 115254534656.

The previous prime is 432204505433. The next prime is 432204505457. The reversal of 432204505440 is 44505402234.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450212547 + ... + 450213506.

It is an arithmetic number, because the mean of its divisors is an integer number (28363420701).

Almost surely, 2^432204505440 is an apocalyptic number.

432204505440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432204505440 is an abundant number, since it is smaller than the sum of its proper divisors (929239688208).

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

432204505440 is a wasteful number, since it uses less digits than its factorization.

432204505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900426071 (or 900426063 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 432204505440 its reverse (44505402234), we get a palindrome (476709907674).

The spelling of 432204505440 in words is "four hundred thirty-two billion, two hundred four million, five hundred five thousand, four hundred forty".