4129963632 has 80 divisors (see below), whose sum is σ = 11897666080. Its totient is φ = 1371644928.

The previous prime is 4129963609. The next prime is 4129963711. The reversal of 4129963632 is 2363699214.

4129963632 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 9 + 6 + 3 + 632 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 102408 + ... + 136920.

It is an arithmetic number, because the mean of its divisors is an integer number (148720826).

Almost surely, 2^4129963632 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 4129963632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948833040).

4129963632 is an abundant number, since it is smaller than the sum of its proper divisors (7767702448).

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

4129963632 is a wasteful number, since it uses less digits than its factorization.

4129963632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34807 (or 34795 counting only the distinct ones).

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

The square root of 4129963632 is about 64264.7930985544. The cubic root of 4129963632 is about 1604.4101806893.

The spelling of 4129963632 in words is "four billion, one hundred twenty-nine million, nine hundred sixty-three thousand, six hundred thirty-two".