41421313041400 has 192 divisors, whose sum is σ = 99253718784000. Its totient is φ = 16066814400000.

The previous prime is 41421313041397. The next prime is 41421313041403. The reversal of 41421313041400 is 414031312414.

41421313041400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41421313041397) and next prime (41421313041403).

It is a super-2 number, since 2×41421313041400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41421313041403) 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 47 ways as a sum of consecutive naturals, for example, 2533560426 + ... + 2533576774.

It is an arithmetic number, because the mean of its divisors is an integer number (516946452000).

Almost surely, 2^{41421313041400} is an apocalyptic number.

41421313041400 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 41421313041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49626859392000).

41421313041400 is an abundant number, since it is smaller than the sum of its proper divisors (57832405742600).

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

41421313041400 is a wasteful number, since it uses less digits than its factorization.

41421313041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18510 (or 18501 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 41421313041400 its reverse (414031312414), we get a palindrome (41835344353814).

The spelling of 41421313041400 in words is "forty-one trillion, four hundred twenty-one billion, three hundred thirteen million, forty-one thousand, four hundred".