4204004340224 has 160 divisors (see below), whose sum is σ = 9229194762480. Its totient is φ = 1901101842432.

The previous prime is 4204004340191. The next prime is 4204004340229. The reversal of 4204004340224 is 4220434004024.

It can be written as a sum of positive squares in 8 ways, for example, as 2797028794624 + 1406975545600 = 1672432^2 + 1186160^2 .

It is not an unprimeable number, because it can be changed into a prime (4204004340229) 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 15 ways as a sum of consecutive naturals, for example, 271270844 + ... + 271286340.

Almost surely, 2^{4204004340224} 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 4204004340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614597381240).

4204004340224 is an abundant number, since it is smaller than the sum of its proper divisors (5025190422256).

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

4204004340224 is a wasteful number, since it uses less digits than its factorization.

4204004340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16350 (or 16334 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 4204004340224 its reverse (4220434004024), we get a palindrome (8424438344248).

The spelling of 4204004340224 in words is "four trillion, two hundred four billion, four million, three hundred forty thousand, two hundred twenty-four".