4129835934 has 128 divisors (see below), whose sum is σ = 10469376000. Its totient is φ = 1081473120.

The previous prime is 4129835923. The next prime is 4129835977. The reversal of 4129835934 is 4395389214.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1210459 + ... + 1213865.

It is an arithmetic number, because the mean of its divisors is an integer number (81792000).

Almost surely, 2^4129835934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129835934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234688000).

4129835934 is an abundant number, since it is smaller than the sum of its proper divisors (6339540066).

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

4129835934 is a wasteful number, since it uses less digits than its factorization.

4129835934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3469 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 4129835934 is about 64263.7995608725. The cubic root of 4129835934 is about 1604.3936444595.

The spelling of 4129835934 in words is "four billion, one hundred twenty-nine million, eight hundred thirty-five thousand, nine hundred thirty-four".