4129705000 has 80 divisors (see below), whose sum is σ = 9840600000. Its totient is φ = 1623768000.

The previous prime is 4129704983. The next prime is 4129705003. The reversal of 4129705000 is 5079214.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4129705000.

It is not an unprimeable number, because it can be changed into a prime (4129705003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288001 + ... + 301999.

It is an arithmetic number, because the mean of its divisors is an integer number (123007500).

Almost surely, 2^4129705000 is an apocalyptic number.

4129705000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920300000).

4129705000 is an abundant number, since it is smaller than the sum of its proper divisors (5710895000).

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

4129705000 is a wasteful number, since it uses less digits than its factorization.

4129705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14084 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 4129705000 is about 64262.7808299641. The cubic root of 4129705000 is about 1604.3766888305.

The spelling of 4129705000 in words is "four billion, one hundred twenty-nine million, seven hundred five thousand".