4134334032 has 120 divisors (see below), whose sum is σ = 12203162400. Its totient is φ = 1303029504.

The previous prime is 4134333977. The next prime is 4134334037. The reversal of 4134334032 is 2304334314.

It is a junction number, because it is equal to n+sod(n) for n = 4134333987 and 4134334005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134334037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801878 + ... + 1804170.

It is an arithmetic number, because the mean of its divisors is an integer number (101693020).

Almost surely, 2^4134334032 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 4134334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101581200).

4134334032 is an abundant number, since it is smaller than the sum of its proper divisors (8068828368).

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

4134334032 is a wasteful number, since it uses less digits than its factorization.

4134334032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 4134334032 is about 64298.7871736318. The cubic root of 4134334032 is about 1604.9759195153.

Adding to 4134334032 its reverse (2304334314), we get a palindrome (6438668346).

The spelling of 4134334032 in words is "four billion, one hundred thirty-four million, three hundred thirty-four thousand, thirty-two".