20109042000 has 120 divisors (see below), whose sum is σ = 70234243560. Its totient is φ = 5362406400.

The previous prime is 20109041993. The next prime is 20109042049. The reversal of 20109042000 is 24090102.

It can be written as a sum of positive squares in 4 ways, for example, as 255104784 + 19853937216 = 15972^2 + 140904^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 540585 + ... + 576584.

It is an arithmetic number, because the mean of its divisors is an integer number (585285363).

Almost surely, 2^20109042000 is an apocalyptic number.

20109042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20109042000 is an abundant number, since it is smaller than the sum of its proper divisors (50125201560).

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

20109042000 is a wasteful number, since it uses less digits than its factorization.

20109042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117198 (or 1117179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 20109042000 in words is "twenty billion, one hundred nine million, forty-two thousand".