4142004200 has 48 divisors (see below), whose sum is σ = 9648212460. Its totient is φ = 1653696000.

The previous prime is 4142004173. The next prime is 4142004211. The reversal of 4142004200 is 24002414.

It can be written as a sum of positive squares in 6 ways, for example, as 2552068324 + 1589935876 = 50518^2 + 39874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89060 + ... + 127340.

Almost surely, 2^4142004200 is an apocalyptic number.

4142004200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142004200 is an abundant number, since it is smaller than the sum of its proper divisors (5506208260).

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

4142004200 is a wasteful number, since it uses less digits than its factorization.

4142004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38838 (or 38829 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4142004200 is about 64358.4042685957. The cubic root of 4142004200 is about 1605.9678430638.

Adding to 4142004200 its reverse (24002414), we get a palindrome (4166006614).

The spelling of 4142004200 in words is "four billion, one hundred forty-two million, four thousand, two hundred".