410442411132 has 144 divisors (see below), whose sum is σ = 1123631308800. Its totient is φ = 125578203264.

The previous prime is 410442411101. The next prime is 410442411133. The reversal of 410442411132 is 231114244014.

410442411132 is a `hidden beast` number, since 4 + 104 + 424 + 1 + 1 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 410442411096 and 410442411105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410442411133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62194369 + ... + 62200967.

It is an arithmetic number, because the mean of its divisors is an integer number (7802995200).

Almost surely, 2^410442411132 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 410442411132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561815654400).

410442411132 is an abundant number, since it is smaller than the sum of its proper divisors (713188897668).

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

410442411132 is a wasteful number, since it uses less digits than its factorization.

410442411132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 410442411132 its reverse (231114244014), we get a palindrome (641556655146).

The spelling of 410442411132 in words is "four hundred ten billion, four hundred forty-two million, four hundred eleven thousand, one hundred thirty-two".