4129438500 has 144 divisors (see below), whose sum is σ = 14211445248. Its totient is φ = 1001064000.

The previous prime is 4129438459. The next prime is 4129438501. The reversal of 4129438500 is 58349214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4129438501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7789 + ... + 91211.

It is an arithmetic number, because the mean of its divisors is an integer number (98690592).

Almost surely, 2^4129438500 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 4129438500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105722624).

4129438500 is an abundant number, since it is smaller than the sum of its proper divisors (10082006748).

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

4129438500 is a wasteful number, since it uses less digits than its factorization.

4129438500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83459 (or 83444 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4129438500 is about 64260.7072790208. The cubic root of 4129438500 is about 1604.3421766329.

The spelling of 4129438500 in words is "four billion, one hundred twenty-nine million, four hundred thirty-eight thousand, five hundred".