202304201040 has 240 divisors, whose sum is σ = 726790388688. Its totient is φ = 50250645504.

The previous prime is 202304200997. The next prime is 202304201059. The reversal of 202304201040 is 40102403202.

202304201040 is a `hidden beast` number, since 2 + 0 + 230 + 420 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 138862656 + 202165338384 = 11784^2 + 449628^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1102084 + ... + 1272476.

Almost surely, 2^202304201040 is an apocalyptic number.

202304201040 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 202304201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363395194344).

202304201040 is an abundant number, since it is smaller than the sum of its proper divisors (524486187648).

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

202304201040 is a wasteful number, since it uses less digits than its factorization.

202304201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170526 (or 170517 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202304201040 its reverse (40102403202), we get a palindrome (242406604242).

The spelling of 202304201040 in words is "two hundred two billion, three hundred four million, two hundred one thousand, forty".