411132432100 has 144 divisors (see below), whose sum is σ = 980941715712. Its totient is φ = 148629911040.

The previous prime is 411132432041. The next prime is 411132432101. The reversal of 411132432100 is 1234231114.

It is a super-2 number, since 2×411132432100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (411132432101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34650769 + ... + 34662631.

It is an arithmetic number, because the mean of its divisors is an integer number (6812095248).

Almost surely, 2^411132432100 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 411132432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490470857856).

411132432100 is an abundant number, since it is smaller than the sum of its proper divisors (569809283612).

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

411132432100 is a wasteful number, since it uses less digits than its factorization.

411132432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12439 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 411132432100 its reverse (1234231114), we get a palindrome (412366663214).

The spelling of 411132432100 in words is "four hundred eleven billion, one hundred thirty-two million, four hundred thirty-two thousand, one hundred".