4009905000 has 200 divisors, whose sum is σ = 14036233530. Its totient is φ = 1069200000.

The previous prime is 4009904957. The next prime is 4009905017. The reversal of 4009905000 is 5099004.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 610781796 + 3399123204 = 24714^2 + 58302^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 400050 + ... + 409950.

Almost surely, 2^4009905000 is an apocalyptic number.

4009905000 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 4009905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018116765).

4009905000 is an abundant number, since it is smaller than the sum of its proper divisors (10026328530).

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

4009905000 is an equidigital number, since it uses as much as digits as its factorization.

4009905000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 4009905000 is about 63323.8106876079. The cubic root of 4009905000 is about 1588.7102392221.

The spelling of 4009905000 in words is "four billion, nine million, nine hundred five thousand".