412304020020 has 384 divisors, whose sum is σ = 1422973440000. Its totient is φ = 98640115200.

The previous prime is 412304020013. The next prime is 412304020021. The reversal of 412304020020 is 20020403214.

412304020020 is a `hidden beast` number, since 412 + 30 + 4 + 0 + 200 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 412304019975 and 412304020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412304020021) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 23825331 + ... + 23842629.

It is an arithmetic number, because the mean of its divisors is an integer number (3705660000).

Almost surely, 2^412304020020 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 412304020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711486720000).

412304020020 is an abundant number, since it is smaller than the sum of its proper divisors (1010669419980).

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

412304020020 is a wasteful number, since it uses less digits than its factorization.

412304020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17460 (or 17452 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 412304020020 its reverse (20020403214), we get a palindrome (432324423234).

The spelling of 412304020020 in words is "four hundred twelve billion, three hundred four million, twenty thousand, twenty".