432414101100 has 144 divisors (see below), whose sum is σ = 1321179466880. Its totient is φ = 108891993600.

The previous prime is 432414101083. The next prime is 432414101159. The reversal of 432414101100 is 1101414234.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662915 + ... + 1905285.

Almost surely, 2^432414101100 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 432414101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660589733440).

432414101100 is an abundant number, since it is smaller than the sum of its proper divisors (888765365780).

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

432414101100 is a wasteful number, since it uses less digits than its factorization.

432414101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242720 (or 242713 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 432414101100 its reverse (1101414234), we get a palindrome (433515515334).

The spelling of 432414101100 in words is "four hundred thirty-two billion, four hundred fourteen million, one hundred one thousand, one hundred".