412242042223232 has 256 divisors, whose sum is σ = 933499180051200. Its totient is φ = 179902339448832.

The previous prime is 412242042223189. The next prime is 412242042223261. The reversal of 412242042223232 is 232322240242214.

It is a junction number, because it is equal to n+sod(n) for n = 412242042223192 and 412242042223201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15678762278 + ... + 15678788570.

It is an arithmetic number, because the mean of its divisors is an integer number (3646481172075).

Almost surely, 2^{412242042223232} 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 412242042223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466749590025600).

412242042223232 is an abundant number, since it is smaller than the sum of its proper divisors (521257137827968).

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

412242042223232 is a wasteful number, since it uses less digits than its factorization.

412242042223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31035 (or 31023 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 412242042223232 its reverse (232322240242214), we get a palindrome (644564282465446).

The spelling of 412242042223232 in words is "four hundred twelve trillion, two hundred forty-two billion, forty-two million, two hundred twenty-three thousand, two hundred thirty-two".