201040000300 has 144 divisors (see below), whose sum is σ = 457674706944. Its totient is φ = 76557600000.

The previous prime is 201040000297. The next prime is 201040000313. The reversal of 201040000300 is 3000040102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154289449 + ... + 154290751.

It is an arithmetic number, because the mean of its divisors is an integer number (3178296576).

Almost surely, 2^201040000300 is an apocalyptic number.

201040000300 is a gapful number since it is divisible by the number (20) 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 201040000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228837353472).

201040000300 is an abundant number, since it is smaller than the sum of its proper divisors (256634706644).

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

201040000300 is a wasteful number, since it uses less digits than its factorization.

201040000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 201040000300 its reverse (3000040102), we get a palindrome (204040040402).

The spelling of 201040000300 in words is "two hundred one billion, forty million, three hundred", and thus it is an aban number.