202300205040 has 120 divisors (see below), whose sum is σ = 679757638560. Its totient is φ = 53917650432.

The previous prime is 202300205039. The next prime is 202300205069. The reversal of 202300205040 is 40502003202.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278114 + ... + 1427646.

It is an arithmetic number, because the mean of its divisors is an integer number (5664646988).

Almost surely, 2^202300205040 is an apocalyptic number.

202300205040 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 202300205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339878819280).

202300205040 is an abundant number, since it is smaller than the sum of its proper divisors (477457433520).

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

202300205040 is a wasteful number, since it uses less digits than its factorization.

202300205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151431 (or 151422 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 202300205040 its reverse (40502003202), we get a palindrome (242802208242).

The spelling of 202300205040 in words is "two hundred two billion, three hundred million, two hundred five thousand, forty".