202541332131040 has 192 divisors, whose sum is σ = 575658374860800. Its totient is φ = 65786193985536.

The previous prime is 202541332130999. The next prime is 202541332131043. The reversal of 202541332131040 is 40131233145202.

202541332131040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202541332130993 and 202541332131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202541332131043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1057456401 + ... + 1057647919.

It is an arithmetic number, because the mean of its divisors is an integer number (2998220702400).

Almost surely, 2^{202541332131040} is an apocalyptic number.

202541332131040 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 202541332131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287829187430400).

202541332131040 is an abundant number, since it is smaller than the sum of its proper divisors (373117042729760).

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

202541332131040 is a wasteful number, since it uses less digits than its factorization.

202541332131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241257 (or 241249 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 202541332131040 its reverse (40131233145202), we get a palindrome (242672565276242).

The spelling of 202541332131040 in words is "two hundred two trillion, five hundred forty-one billion, three hundred thirty-two million, one hundred thirty-one thousand, forty".