4200204000 has 192 divisors, whose sum is σ = 14097125952. Its totient is φ = 1092608000.

The previous prime is 4200203989. The next prime is 4200204031. The reversal of 4200204000 is 4020024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 487732 + ... + 496268.

It is an arithmetic number, because the mean of its divisors is an integer number (73422531).

Almost surely, 2^4200204000 is an apocalyptic number.

4200204000 is a gapful number since it is divisible by the number (40) 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 4200204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048562976).

4200204000 is an abundant number, since it is smaller than the sum of its proper divisors (9896921952).

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

4200204000 is a wasteful number, since it uses less digits than its factorization.

4200204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4200204000 is about 64808.9808591371. The cubic root of 4200204000 is about 1613.4547677797.

Adding to 4200204000 its reverse (4020024), we get a palindrome (4204224024).

The spelling of 4200204000 in words is "four billion, two hundred million, two hundred four thousand".