432321340100 has 144 divisors (see below), whose sum is σ = 1016282453760. Its totient is φ = 158683929600.

The previous prime is 432321340081. The next prime is 432321340109. The reversal of 432321340100 is 1043123234.

It is a super-2 number, since 2×432321340100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (432321340109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301688984 + ... + 301690416.

It is an arithmetic number, because the mean of its divisors is an integer number (7057517040).

Almost surely, 2^432321340100 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 432321340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508141226880).

432321340100 is an abundant number, since it is smaller than the sum of its proper divisors (583961113660).

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

432321340100 is a wasteful number, since it uses less digits than its factorization.

432321340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 432321340100 its reverse (1043123234), we get a palindrome (433364463334).

The spelling of 432321340100 in words is "four hundred thirty-two billion, three hundred twenty-one million, three hundred forty thousand, one hundred".