412371606528 has 792 divisors, whose sum is σ = 1484112075264. Its totient is φ = 113915289600.

The previous prime is 412371606527. The next prime is 412371606533. The reversal of 412371606528 is 825606173214.

412371606528 is a `hidden beast` number, since 4 + 1 + 2 + 37 + 1 + 606 + 5 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412371606527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 377975263 + ... + 377976353.

Almost surely, 2^412371606528 is an apocalyptic number.

412371606528 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 412371606528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742056037632).

412371606528 is an abundant number, since it is smaller than the sum of its proper divisors (1071740468736).

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

412371606528 is a wasteful number, since it uses less digits than its factorization.

412371606528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 412371606528 in words is "four hundred twelve billion, three hundred seventy-one million, six hundred six thousand, five hundred twenty-eight".