4142415200 has 144 divisors (see below), whose sum is σ = 12608193024. Its totient is φ = 1291123200.

The previous prime is 4142415119. The next prime is 4142415203. The reversal of 4142415200 is 25142414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142415203) 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 23 ways as a sum of consecutive naturals, for example, 27977 + ... + 95223.

It is an arithmetic number, because the mean of its divisors is an integer number (87556896).

Almost surely, 2^4142415200 is an apocalyptic number.

4142415200 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 4142415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304096512).

4142415200 is an abundant number, since it is smaller than the sum of its proper divisors (8465777824).

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

4142415200 is a wasteful number, since it uses less digits than its factorization.

4142415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67285 (or 67272 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4142415200 is about 64361.5972455625. The cubic root of 4142415200 is about 1606.0209599384.

Adding to 4142415200 its reverse (25142414), we get a palindrome (4167557614).

The spelling of 4142415200 in words is "four billion, one hundred forty-two million, four hundred fifteen thousand, two hundred".