412096432176 has 960 divisors, whose sum is σ = 1499064053760. Its totient is φ = 103762944000.

The previous prime is 412096432159. The next prime is 412096432201. The reversal of 412096432176 is 671234690214.

412096432176 is a `hidden beast` number, since 4 + 1 + 209 + 6 + 432 + 1 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 739849690 + ... + 739850246.

It is an arithmetic number, because the mean of its divisors is an integer number (1561525056).

Almost surely, 2^412096432176 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 412096432176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749532026880).

412096432176 is an abundant number, since it is smaller than the sum of its proper divisors (1086967621584).

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

412096432176 is a wasteful number, since it uses less digits than its factorization.

412096432176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 412096432176 in words is "four hundred twelve billion, ninety-six million, four hundred thirty-two thousand, one hundred seventy-six".