4200024202020 has 144 divisors (see below), whose sum is σ = 12799101264768. Its totient is φ = 1114819453440.

The previous prime is 4200024202013. The next prime is 4200024202027. The reversal of 4200024202020 is 202024200024.

4200024202020 is a `hidden beast` number, since 4 + 200 + 0 + 2 + 420 + 20 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4200024202013) and next prime (4200024202027).

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 = 4200024201984 and 4200024202002.

It is not an unprimeable number, because it can be changed into a prime (4200024202027) 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 47 ways as a sum of consecutive naturals, for example, 240942705 + ... + 240960135.

It is an arithmetic number, because the mean of its divisors is an integer number (88882647672).

Almost surely, 2^{4200024202020} 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 4200024202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399550632384).

4200024202020 is an abundant number, since it is smaller than the sum of its proper divisors (8599077062748).

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

4200024202020 is a wasteful number, since it uses less digits than its factorization.

4200024202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23570 (or 23565 counting only the distinct ones).

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

Adding to 4200024202020 its reverse (202024200024), we get a palindrome (4402048402044).

It can be divided in two parts, 4200024 and 202020, that added together give a palindrome (4402044).

The spelling of 4200024202020 in words is "four trillion, two hundred billion, twenty-four million, two hundred two thousand, twenty".