41143312204400 has 240 divisors, whose sum is σ = 116905067864640. Its totient is φ = 13614978048000.

The previous prime is 41143312204387. The next prime is 41143312204433. The reversal of 41143312204400 is 440221334114.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230275100 + ... + 230453700.

It is an arithmetic number, because the mean of its divisors is an integer number (487104449436).

Almost surely, 2^{41143312204400} is an apocalyptic number.

41143312204400 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 41143312204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58452533932320).

41143312204400 is an abundant number, since it is smaller than the sum of its proper divisors (75761755660240).

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

41143312204400 is a wasteful number, since it uses less digits than its factorization.

41143312204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181492 (or 181481 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 41143312204400 its reverse (440221334114), we get a palindrome (41583533538514).

The spelling of 41143312204400 in words is "forty-one trillion, one hundred forty-three billion, three hundred twelve million, two hundred four thousand, four hundred".