41411413045200 has 480 divisors, whose sum is σ = 149074857027072. Its totient is φ = 9738254592000.

The previous prime is 41411413045169. The next prime is 41411413045201. The reversal of 41411413045200 is 254031411414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41411413045201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161532319 + ... + 161788481.

Almost surely, 2^{41411413045200} is an apocalyptic number.

41411413045200 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 41411413045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74537428513536).

41411413045200 is an abundant number, since it is smaller than the sum of its proper divisors (107663443981872).

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

41411413045200 is a wasteful number, since it uses less digits than its factorization.

41411413045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256563 (or 256552 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 41411413045200 its reverse (254031411414), we get a palindrome (41665444456614).

The spelling of 41411413045200 in words is "forty-one trillion, four hundred eleven billion, four hundred thirteen million, forty-five thousand, two hundred".