4134413430 has 192 divisors, whose sum is σ = 13167318528. Its totient is φ = 878515200.

The previous prime is 4134413401. The next prime is 4134413431. The reversal of 4134413430 is 343144314.

It is a junction number, because it is equal to n+sod(n) for n = 4134413394 and 4134413403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134413431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 886605 + ... + 891255.

It is an arithmetic number, because the mean of its divisors is an integer number (68579784).

Almost surely, 2^4134413430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134413430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583659264).

4134413430 is an abundant number, since it is smaller than the sum of its proper divisors (9032905098).

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

4134413430 is a wasteful number, since it uses less digits than its factorization.

4134413430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4134413430 is about 64299.4045851126. The cubic root of 4134413430 is about 1604.9861937264.

Adding to 4134413430 its reverse (343144314), we get a palindrome (4477557744).

The spelling of 4134413430 in words is "four billion, one hundred thirty-four million, four hundred thirteen thousand, four hundred thirty".