4099132900 has 72 divisors (see below), whose sum is σ = 9064497960. Its totient is φ = 1608576000.

The previous prime is 4099132879. The next prime is 4099132927. The reversal of 4099132900 is 92319904.

It can be written as a sum of positive squares in 12 ways, for example, as 2001309696 + 2097823204 = 44736^2 + 45802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4099132900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3470310 + ... + 3471490.

It is an arithmetic number, because the mean of its divisors is an integer number (125895805).

Almost surely, 2^4099132900 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 4099132900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532248980).

4099132900 is an abundant number, since it is smaller than the sum of its proper divisors (4965365060).

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

4099132900 is a wasteful number, since it uses less digits than its factorization.

4099132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 4099132900 is about 64024.4711028525. The cubic root of 4099132900 is about 1600.4078257275.

The spelling of 4099132900 in words is "four billion, ninety-nine million, one hundred thirty-two thousand, nine hundred".