412805705312 has 192 divisors, whose sum is σ = 1138637896704. Its totient is φ = 142006487040.

The previous prime is 412805705309. The next prime is 412805705357. The reversal of 412805705312 is 213507508214.

It is a congruent number.

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, 456578 + ... + 1016894.

It is an arithmetic number, because the mean of its divisors is an integer number (5930405712).

Almost surely, 2^412805705312 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 412805705312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569318948352).

412805705312 is an abundant number, since it is smaller than the sum of its proper divisors (725832191392).

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

412805705312 is a wasteful number, since it uses less digits than its factorization.

412805705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560381 (or 560373 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 412805705312 in words is "four hundred twelve billion, eight hundred five million, seven hundred five thousand, three hundred twelve".