41131203115200 has 672 divisors, whose sum is σ = 152856261216000. Its totient is φ = 9591480729600.

The previous prime is 41131203115193. The next prime is 41131203115207. The reversal of 41131203115200 is 251130213114.

It is an interprime number because it is at equal distance from previous prime (41131203115193) and next prime (41131203115207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41131203115207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 411842871 + ... + 411942729.

Almost surely, 2^{41131203115200} is an apocalyptic number.

41131203115200 is a gapful number since it is divisible by the number (40) 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 41131203115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76428130608000).

41131203115200 is an abundant number, since it is smaller than the sum of its proper divisors (111725058100800).

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

41131203115200 is a wasteful number, since it uses less digits than its factorization.

41131203115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100193 (or 100178 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 41131203115200 its reverse (251130213114), we get a palindrome (41382333328314).

The spelling of 41131203115200 in words is "forty-one trillion, one hundred thirty-one billion, two hundred three million, one hundred fifteen thousand, two hundred".