420413002020 has 216 divisors, whose sum is σ = 1416182002872. Its totient is φ = 100867092480.

The previous prime is 420413001991. The next prime is 420413002027. The reversal of 420413002020 is 20200314024.

420413002020 is a `hidden beast` number, since 420 + 41 + 3 + 0 + 0 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161608824036 + 258804177984 = 402006^2 + 508728^2 .

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 = 420413001984 and 420413002002.

It is not an unprimeable number, because it can be changed into a prime (420413002027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2013162 + ... + 2212158.

Almost surely, 2^420413002020 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 420413002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708091001436).

420413002020 is an abundant number, since it is smaller than the sum of its proper divisors (995769000852).

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

420413002020 is a wasteful number, since it uses less digits than its factorization.

420413002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199131 (or 199115 counting only the distinct ones).

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

Adding to 420413002020 its reverse (20200314024), we get a palindrome (440613316044).

The spelling of 420413002020 in words is "four hundred twenty billion, four hundred thirteen million, two thousand, twenty".