412242320420 has 72 divisors (see below), whose sum is σ = 1066287322296. Its totient is φ = 133026087936.

The previous prime is 412242320393. The next prime is 412242320431. The reversal of 412242320420 is 24023242214.

It can be written as a sum of positive squares in 4 ways, for example, as 28843587556 + 383398732864 = 169834^2 + 619192^2 .

It is a super-3 number, since 3×412242320420³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412242320420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12355559 + ... + 12388878.

It is an arithmetic number, because the mean of its divisors is an integer number (14809546143).

Almost surely, 2^412242320420 is an apocalyptic number.

It is an amenable number.

412242320420 is an abundant number, since it is smaller than the sum of its proper divisors (654045001876).

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

412242320420 is a wasteful number, since it uses less digits than its factorization.

412242320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24744477 (or 24744468 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 412242320420 its reverse (24023242214), we get a palindrome (436265562634).

The spelling of 412242320420 in words is "four hundred twelve billion, two hundred forty-two million, three hundred twenty thousand, four hundred twenty".