412166635444608 has 1024 divisors, whose sum is σ = 1319180445941760. Its totient is φ = 112563634176000.

The previous prime is 412166635444607. The next prime is 412166635444667. The reversal of 412166635444608 is 806444536661214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412166635444607) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119020106685 + ... + 119020110147.

It is an arithmetic number, because the mean of its divisors is an integer number (1288262154240).

Almost surely, 2^{412166635444608} is an apocalyptic number.

412166635444608 is a gapful number since it is divisible by the number (48) 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 412166635444608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659590222970880).

412166635444608 is an abundant number, since it is smaller than the sum of its proper divisors (907013810497152).

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

412166635444608 is a wasteful number, since it uses less digits than its factorization.

412166635444608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 60.

The spelling of 412166635444608 in words is "four hundred twelve trillion, one hundred sixty-six billion, six hundred thirty-five million, four hundred forty-four thousand, six hundred eight".