4129263936 has 336 divisors, whose sum is σ = 14093464320. Its totient is φ = 1131356160.

The previous prime is 4129263889. The next prime is 4129263959. The reversal of 4129263936 is 6393629214.

4129263936 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 2 + 639 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4129263891 and 4129263900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13277221 + ... + 13277531.

Almost surely, 2^4129263936 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 4129263936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046732160).

4129263936 is an abundant number, since it is smaller than the sum of its proper divisors (9964200384).

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

4129263936 is a wasteful number, since it uses less digits than its factorization.

4129263936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 4129263936 is about 64259.3490163105. The cubic root of 4129263936 is about 1604.3195694968.

The spelling of 4129263936 in words is "four billion, one hundred twenty-nine million, two hundred sixty-three thousand, nine hundred thirty-six".