4233420200020 has 192 divisors, whose sum is σ = 10084583545344. Its totient is φ = 1479296000000.

The previous prime is 4233420200017. The next prime is 4233420200077. The reversal of 4233420200020 is 200020243324.

4233420200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4233420200020³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4233420199964 and 4233420200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833183880 + ... + 833188960.

It is an arithmetic number, because the mean of its divisors is an integer number (52523872632).

Almost surely, 2^{4233420200020} 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 4233420200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042291772672).

4233420200020 is an abundant number, since it is smaller than the sum of its proper divisors (5851163345324).

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

4233420200020 is a wasteful number, since it uses less digits than its factorization.

4233420200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 4233420200020 its reverse (200020243324), we get a palindrome (4433440443344).

The spelling of 4233420200020 in words is "four trillion, two hundred thirty-three billion, four hundred twenty million, two hundred thousand, twenty".