41540354442400 has 216 divisors, whose sum is σ = 111536553078720. Its totient is φ = 15096241881600.

The previous prime is 41540354442397. The next prime is 41540354442407. The reversal of 41540354442400 is 424445304514.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (41540354442407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 157361721 + ... + 157625479.

It is an arithmetic number, because the mean of its divisors is an integer number (516372930920).

Almost surely, 2^{41540354442400} is an apocalyptic number.

41540354442400 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 41540354442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55768276539360).

41540354442400 is an abundant number, since it is smaller than the sum of its proper divisors (69996198636320).

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

41540354442400 is a wasteful number, since it uses less digits than its factorization.

41540354442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265428 (or 265404 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 41540354442400 its reverse (424445304514), we get a palindrome (41964799746914).

The spelling of 41540354442400 in words is "forty-one trillion, five hundred forty billion, three hundred fifty-four million, four hundred forty-two thousand, four hundred".