4129190406 has 128 divisors (see below), whose sum is σ = 10304340480. Its totient is φ = 1215043200.

The previous prime is 4129190399. The next prime is 4129190411. The reversal of 4129190406 is 6040919214.

It is a happy number.

4129190406 is a `hidden beast` number, since 41 + 29 + 190 + 406 = 666.

4129190406 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3006736 + ... + 3008108.

It is an arithmetic number, because the mean of its divisors is an integer number (80502660).

Almost surely, 2^4129190406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129190406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152170240).

4129190406 is an abundant number, since it is smaller than the sum of its proper divisors (6175150074).

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

4129190406 is a wasteful number, since it uses less digits than its factorization.

4129190406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4129190406 is about 64258.7768791159. The cubic root of 4129190406 is about 1604.3100467086.

The spelling of 4129190406 in words is "four billion, one hundred twenty-nine million, one hundred ninety thousand, four hundred six".