4204134144 has 216 divisors, whose sum is σ = 14463303120. Its totient is φ = 1201084416.

The previous prime is 4204134113. The next prime is 4204134203. The reversal of 4204134144 is 4414314024.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×4204134144² = 35349487801493225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332482 + ... + 344894.

Almost surely, 2^4204134144 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 4204134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231651560).

4204134144 is an abundant number, since it is smaller than the sum of its proper divisors (10259168976).

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

4204134144 is a wasteful number, since it uses less digits than its factorization.

4204134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12452 (or 12425 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4204134144 is about 64839.2947524879. The cubic root of 4204134144 is about 1613.9578491224.

Adding to 4204134144 its reverse (4414314024), we get a palindrome (8618448168).

The spelling of 4204134144 in words is "four billion, two hundred four million, one hundred thirty-four thousand, one hundred forty-four".