4242404100 has 144 divisors (see below), whose sum is σ = 13426015680. Its totient is φ = 1025740800.

The previous prime is 4242404093. The next prime is 4242404129. The reversal of 4242404100 is 14042424.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1427416 + ... + 1430384.

It is an arithmetic number, because the mean of its divisors is an integer number (93236220).

Almost surely, 2^4242404100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713007840).

4242404100 is an abundant number, since it is smaller than the sum of its proper divisors (9183611580).

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

4242404100 is a wasteful number, since it uses less digits than its factorization.

4242404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4242404100 is about 65133.7401044958. The cubic root of 4242404100 is about 1618.8403146740.

Adding to 4242404100 its reverse (14042424), we get a palindrome (4256446524).

The spelling of 4242404100 in words is "four billion, two hundred forty-two million, four hundred four thousand, one hundred".