4402100342304 has 216 divisors, whose sum is σ = 14706491150988. Its totient is φ = 1245289651200.

The previous prime is 4402100342293. The next prime is 4402100342309. The reversal of 4402100342304 is 4032430012044.

It is a happy number.

4402100342304 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 10 + 0 + 342 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4376547680400 + 25552661904 = 2092020^2 + 159852^2 .

It is not an unprimeable number, because it can be changed into a prime (4402100342309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118947 + ... + 2969570.

Almost surely, 2^{4402100342304} 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 4402100342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353245575494).

4402100342304 is an abundant number, since it is smaller than the sum of its proper divisors (10304390808684).

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

4402100342304 is a wasteful number, since it uses less digits than its factorization.

4402100342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088648 (or 3088630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4402100342304 its reverse (4032430012044), we get a palindrome (8434530354348).

The spelling of 4402100342304 in words is "four trillion, four hundred two billion, one hundred million, three hundred forty-two thousand, three hundred four".