410242404432 has 240 divisors, whose sum is σ = 1282494254400. Its totient is φ = 112534732800.

The previous prime is 410242404389. The next prime is 410242404449. The reversal of 410242404432 is 234404242014.

It is a self number, because there is not a number n which added to its sum of digits gives 410242404432.

It is a congruent number.

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, 12192432 + ... + 12226032.

It is an arithmetic number, because the mean of its divisors is an integer number (5343726060).

Almost surely, 2^410242404432 is an apocalyptic number.

410242404432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410242404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641247127200).

410242404432 is an abundant number, since it is smaller than the sum of its proper divisors (872251849968).

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

410242404432 is a wasteful number, since it uses less digits than its factorization.

410242404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33834 (or 33821 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 410242404432 its reverse (234404242014), we get a palindrome (644646646446).

The spelling of 410242404432 in words is "four hundred ten billion, two hundred forty-two million, four hundred four thousand, four hundred thirty-two".