424200400020 has 72 divisors (see below), whose sum is σ = 1318125168360. Its totient is φ = 110361077760.

The previous prime is 424200400009. The next prime is 424200400067. The reversal of 424200400020 is 20004002424.

424200400020 is a `hidden beast` number, since 4 + 242 + 0 + 0 + 400 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27496935684 + 396703464336 = 165822^2 + 629844^2 .

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 = 424200399966 and 424200400002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28732485 + ... + 28747244.

It is an arithmetic number, because the mean of its divisors is an integer number (18307294005).

Almost surely, 2^424200400020 is an apocalyptic number.

It is an amenable number.

424200400020 is an abundant number, since it is smaller than the sum of its proper divisors (893924768340).

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

424200400020 is a wasteful number, since it uses less digits than its factorization.

424200400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57479785 (or 57479780 counting only the distinct ones).

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

Adding to 424200400020 its reverse (20004002424), we get a palindrome (444204402444).

The spelling of 424200400020 in words is "four hundred twenty-four billion, two hundred million, four hundred thousand, twenty".