410232224032 has 96 divisors (see below), whose sum is σ = 863508349872. Its totient is φ = 191167463424.

The previous prime is 410232224023. The next prime is 410232224231. The reversal of 410232224032 is 230422232014.

It can be written as a sum of positive squares in 8 ways, for example, as 119879367696 + 290352856336 = 346236^2 + 538844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 410232223988 and 410232224006.

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, 88087048 + ... + 88091704.

Almost surely, 2^410232224032 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 410232224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431754174936).

410232224032 is an abundant number, since it is smaller than the sum of its proper divisors (453276125840).

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

410232224032 is a wasteful number, since it uses less digits than its factorization.

410232224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 410232224032 its reverse (230422232014), we get a palindrome (640654456046).

The spelling of 410232224032 in words is "four hundred ten billion, two hundred thirty-two million, two hundred twenty-four thousand, thirty-two".