412016310020 has 96 divisors (see below), whose sum is σ = 1005010675200. Its totient is φ = 138961428480.

The previous prime is 412016310019. The next prime is 412016310059. The reversal of 412016310020 is 20013610214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 412016309974 and 412016310001.

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 31 ways as a sum of consecutive naturals, for example, 4416902 + ... + 4509218.

It is an arithmetic number, because the mean of its divisors is an integer number (10468861200).

Almost surely, 2^412016310020 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 412016310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502505337600).

412016310020 is an abundant number, since it is smaller than the sum of its proper divisors (592994365180).

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

412016310020 is a wasteful number, since it uses less digits than its factorization.

412016310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92853 (or 92851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 412016310020 its reverse (20013610214), we get a palindrome (432029920234).

The spelling of 412016310020 in words is "four hundred twelve billion, sixteen million, three hundred ten thousand, twenty".