412735433616 has 240 divisors, whose sum is σ = 1283464728000. Its totient is φ = 122758364160.

The previous prime is 412735433581. The next prime is 412735433629. The reversal of 412735433616 is 616334537214.

412735433616 is a `hidden beast` number, since 4 + 1 + 2 + 73 + 543 + 36 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66257190 + ... + 66263418.

It is an arithmetic number, because the mean of its divisors is an integer number (5347769700).

Almost surely, 2^412735433616 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 412735433616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641732364000).

412735433616 is an abundant number, since it is smaller than the sum of its proper divisors (870729294384).

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

412735433616 is a wasteful number, since it uses less digits than its factorization.

412735433616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7013 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 412735433616 in words is "four hundred twelve billion, seven hundred thirty-five million, four hundred thirty-three thousand, six hundred sixteen".