432200141104 has 80 divisors (see below), whose sum is σ = 892922849280. Its totient is φ = 201950807040.

The previous prime is 432200141011. The next prime is 432200141119. The reversal of 432200141104 is 401141002234.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54573657 + ... + 54581575.

It is an arithmetic number, because the mean of its divisors is an integer number (11161535616).

Almost surely, 2^432200141104 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 432200141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446461424640).

432200141104 is an abundant number, since it is smaller than the sum of its proper divisors (460722708176).

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

432200141104 is a wasteful number, since it uses less digits than its factorization.

432200141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 432200141104 its reverse (401141002234), we get a palindrome (833341143338).

The spelling of 432200141104 in words is "four hundred thirty-two billion, two hundred million, one hundred forty-one thousand, one hundred four".