410041332224 has 80 divisors (see below), whose sum is σ = 828393646080. Its totient is φ = 202746101760.

The previous prime is 410041332221. The next prime is 410041332227. The reversal of 410041332224 is 422233140014.

It is an interprime number because it is at equal distance from previous prime (410041332221) and next prime (410041332227).

It is a junction number, because it is equal to n+sod(n) for n = 410041332193 and 410041332202.

It is not an unprimeable number, because it can be changed into a prime (410041332221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40548929 + ... + 40559039.

It is an arithmetic number, because the mean of its divisors is an integer number (10354920576).

Almost surely, 2^410041332224 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 410041332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414196823040).

410041332224 is an abundant number, since it is smaller than the sum of its proper divisors (418352313856).

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

410041332224 is a wasteful number, since it uses less digits than its factorization.

410041332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11001 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 410041332224 its reverse (422233140014), we get a palindrome (832274472238).

The spelling of 410041332224 in words is "four hundred ten billion, forty-one million, three hundred thirty-two thousand, two hundred twenty-four".