4201334304 has 96 divisors (see below), whose sum is σ = 11875429440. Its totient is φ = 1295695872.

The previous prime is 4201334297. The next prime is 4201334311. The reversal of 4201334304 is 4034331024.

It is an interprime number because it is at equal distance from previous prime (4201334297) and next prime (4201334311).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74472 + ... + 118104.

It is an arithmetic number, because the mean of its divisors is an integer number (123702390).

Almost surely, 2^4201334304 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 4201334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937714720).

4201334304 is an abundant number, since it is smaller than the sum of its proper divisors (7674095136).

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

4201334304 is a wasteful number, since it uses less digits than its factorization.

4201334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43722 (or 43714 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4201334304 is about 64817.7005454529. The cubic root of 4201334304 is about 1613.5994854182.

Adding to 4201334304 its reverse (4034331024), we get a palindrome (8235665328).

The spelling of 4201334304 in words is "four billion, two hundred one million, three hundred thirty-four thousand, three hundred four".