10409805000 has 360 divisors, whose sum is σ = 40990808430. Its totient is φ = 2378880000.

The previous prime is 10409804947. The next prime is 10409805031. The reversal of 10409805000 is 50890401.

It can be written as a sum of positive squares in 5 ways, for example, as 172817316 + 10236987684 = 13146^2 + 101178^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2202640 + ... + 2207360.

Almost surely, 2^10409805000 is an apocalyptic number.

10409805000 is a gapful number since it is divisible by the number (10) 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 10409805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495404215).

10409805000 is an abundant number, since it is smaller than the sum of its proper divisors (30581003430).

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

10409805000 is a wasteful number, since it uses less digits than its factorization.

10409805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

It can be divided in two parts, 10409 and 805000, that added together give a square (815409 = 903²).

The spelling of 10409805000 in words is "ten billion, four hundred nine million, eight hundred five thousand".