412322805000 has 300 divisors, whose sum is σ = 1444576778865. Its totient is φ = 109843776000.

The previous prime is 412322804989. The next prime is 412322805029. The reversal of 412322805000 is 508223214.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

412322805000 is a `hidden beast` number, since 41 + 23 + 22 + 80 + 500 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 88605047556 + 323717757444 = 297666^2 + 568962^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=454050.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 408644496 + ... + 408645504.

Almost surely, 2^412322805000 is an apocalyptic number.

412322805000 is a gapful number since it is divisible by the number (40) 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 412322805000

412322805000 is an abundant number, since it is smaller than the sum of its proper divisors (1032253973865).

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

412322805000 is an frugal number, since it uses more digits than its factorization.

412322805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 412322805000 in words is "four hundred twelve billion, three hundred twenty-two million, eight hundred five thousand".