412314200010 has 48 divisors (see below), whose sum is σ = 1076698270440. Its totient is φ = 109470314880.

The previous prime is 412314199987. The next prime is 412314200017. The reversal of 412314200010 is 10002413214.

412314200010 is a `hidden beast` number, since 4 + 1 + 231 + 420 + 0 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 410620795209 + 1693404801 = 640797^2 + 41151^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412314200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9982161 + ... + 10023380.

Almost surely, 2^412314200010 is an apocalyptic number.

412314200010 is an abundant number, since it is smaller than the sum of its proper divisors (664384070430).

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

412314200010 is a wasteful number, since it uses less digits than its factorization.

412314200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20005783 (or 20005780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 412314200010 its reverse (10002413214), we get a palindrome (422316613224).

The spelling of 412314200010 in words is "four hundred twelve billion, three hundred fourteen million, two hundred thousand, ten".