20413020420 has 144 divisors (see below), whose sum is σ = 67432463280. Its totient is φ = 4968235008.

The previous prime is 20413020409. The next prime is 20413020451. The reversal of 20413020420 is 2402031402.

It can be written as a sum of positive squares in 8 ways, for example, as 484616196 + 19928404224 = 22014^2 + 141168^2 .

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 = 20413020393 and 20413020402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159252 + ... + 257268.

It is an arithmetic number, because the mean of its divisors is an integer number (468280995).

Almost surely, 2^20413020420 is an apocalyptic number.

20413020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33716231640).

20413020420 is an abundant number, since it is smaller than the sum of its proper divisors (47019442860).

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

20413020420 is a wasteful number, since it uses less digits than its factorization.

20413020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98134 (or 98129 counting only the distinct ones).

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

Adding to 20413020420 its reverse (2402031402), we get a palindrome (22815051822).

The spelling of 20413020420 in words is "twenty billion, four hundred thirteen million, twenty thousand, four hundred twenty".