4195386500 has 96 divisors (see below), whose sum is σ = 9711243360. Its totient is φ = 1580544000.

The previous prime is 4195386493. The next prime is 4195386509. The reversal of 4195386500 is 56835914.

It can be written as a sum of positive squares in 16 ways, for example, as 2522249284 + 1673137216 = 50222^2 + 40904^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (4195386509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590972 + ... + 598028.

It is an arithmetic number, because the mean of its divisors is an integer number (101158785).

Almost surely, 2^4195386500 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 4195386500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855621680).

4195386500 is an abundant number, since it is smaller than the sum of its proper divisors (5515856860).

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

4195386500 is a wasteful number, since it uses less digits than its factorization.

4195386500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7146 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 4195386500 is about 64771.8032788960. The cubic root of 4195386500 is about 1612.8376714066.

The spelling of 4195386500 in words is "four billion, one hundred ninety-five million, three hundred eighty-six thousand, five hundred".