4042420200 has 1152 divisors, whose sum is σ = 18523814400. Its totient is φ = 766402560.

The previous prime is 4042420199. The next prime is 4042420201. The reversal of 4042420200 is 20242404.

4042420200 is a `hidden beast` number, since 4 + 0 + 42 + 420 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (4042420199) and next prime (4042420201).

It is a super-2 number, since 2×4042420200² = 32682322146736080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4042420201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 109254582 + ... + 109254618.

It is an arithmetic number, because the mean of its divisors is an integer number (16079700).

Almost surely, 2^4042420200 is an apocalyptic number.

4042420200 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 4042420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261907200).

4042420200 is an abundant number, since it is smaller than the sum of its proper divisors (14481394200).

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

4042420200 is a wasteful number, since it uses less digits than its factorization.

4042420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

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

The square root of 4042420200 is about 63580.0298836042. The cubic root of 4042420200 is about 1592.9928204877.

Adding to 4042420200 its reverse (20242404), we get a palindrome (4062662604).

The spelling of 4042420200 in words is "four billion, forty-two million, four hundred twenty thousand, two hundred".