202241305040 has 80 divisors (see below), whose sum is σ = 479814374736. Its totient is φ = 79248998400.

The previous prime is 202241305033. The next prime is 202241305043. The reversal of 202241305040 is 40503142202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34957033024 + 167284272016 = 186968^2 + 409004^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 202241304997 and 202241305015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202241305043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2766560 + ... + 2838720.

Almost surely, 2^202241305040 is an apocalyptic number.

202241305040 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 202241305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239907187368).

202241305040 is an abundant number, since it is smaller than the sum of its proper divisors (277573069696).

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

202241305040 is a wasteful number, since it uses less digits than its factorization.

202241305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72888 (or 72882 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 202241305040 its reverse (40503142202), we get a palindrome (242744447242).

The spelling of 202241305040 in words is "two hundred two billion, two hundred forty-one million, three hundred five thousand, forty".