20424000420 has 96 divisors (see below), whose sum is σ = 63605404800. Its totient is φ = 5440908672.

The previous prime is 20424000403. The next prime is 20424000449. The reversal of 20424000420 is 2400042402.

20424000420 is a `hidden beast` number, since 2 + 0 + 4 + 240 + 0 + 0 + 420 = 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 = 20424000393 and 20424000402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531702 + ... + 568818.

It is an arithmetic number, because the mean of its divisors is an integer number (662556300).

Almost surely, 2^20424000420 is an apocalyptic number.

20424000420 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 20424000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31802702400).

20424000420 is an abundant number, since it is smaller than the sum of its proper divisors (43181404380).

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

20424000420 is a wasteful number, since it uses less digits than its factorization.

20424000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38154 (or 38146 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20424000420 its reverse (2400042402), we get a palindrome (22824042822).

The spelling of 20424000420 in words is "twenty billion, four hundred twenty-four million, four hundred twenty", and thus it is an aban number.