4202063200 has 288 divisors, whose sum is σ = 11285277696. Its totient is φ = 1523343360.

The previous prime is 4202063189. The next prime is 4202063207. The reversal of 4202063200 is 23602024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202063207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37186344 + ... + 37186456.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^4202063200 is an apocalyptic number.

4202063200 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 4202063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642638848).

4202063200 is an abundant number, since it is smaller than the sum of its proper divisors (7083214496).

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

4202063200 is a wasteful number, since it uses less digits than its factorization.

4202063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4202063200 is about 64823.3229632669. The cubic root of 4202063200 is about 1613.6927953142.

Adding to 4202063200 its reverse (23602024), we get a palindrome (4225665224).

The spelling of 4202063200 in words is "four billion, two hundred two million, sixty-three thousand, two hundred".