412506731808 has 384 divisors, whose sum is σ = 1300453539840. Its totient is φ = 126839623680.

The previous prime is 412506731789. The next prime is 412506731851. The reversal of 412506731808 is 808137605214.

412506731808 is a `hidden beast` number, since 412 + 50 + 6 + 7 + 3 + 180 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207601791 + ... + 207603777.

It is an arithmetic number, because the mean of its divisors is an integer number (3386597760).

Almost surely, 2^412506731808 is an apocalyptic number.

412506731808 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 412506731808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650226769920).

412506731808 is an abundant number, since it is smaller than the sum of its proper divisors (887946808032).

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

412506731808 is a wasteful number, since it uses less digits than its factorization.

412506731808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 412506731808 in words is "four hundred twelve billion, five hundred six million, seven hundred thirty-one thousand, eight hundred eight".