41342412245400 has 288 divisors, whose sum is σ = 158862178107360. Its totient is φ = 9438613585920.

The previous prime is 41342412245383. The next prime is 41342412245419. The reversal of 41342412245400 is 454221424314.

41342412245400 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 2 + 4 + 1 + 2 + 245 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8824504 + ... + 12671096.

It is an arithmetic number, because the mean of its divisors is an integer number (551604785095).

Almost surely, 2^{41342412245400} is an apocalyptic number.

41342412245400 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 41342412245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79431089053680).

41342412245400 is an abundant number, since it is smaller than the sum of its proper divisors (117519765861960).

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

41342412245400 is a wasteful number, since it uses less digits than its factorization.

41342412245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847475 (or 3847463 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 41342412245400 its reverse (454221424314), we get a palindrome (41796633669714).

The spelling of 41342412245400 in words is "forty-one trillion, three hundred forty-two billion, four hundred twelve million, two hundred forty-five thousand, four hundred".