41543613104000 has 512 divisors, whose sum is σ = 123245033932800. Its totient is φ = 13616553984000.

The previous prime is 41543613103961. The next prime is 41543613104039. The reversal of 41543613104000 is 40131634514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41543613103961) and next prime (41543613104039).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 63 ways as a sum of consecutive naturals, for example, 6210732656 + ... + 6210739344.

It is an arithmetic number, because the mean of its divisors is an integer number (240712956900).

Almost surely, 2^{41543613104000} is an apocalyptic number.

41543613104000 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 41543613104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61622516966400).

41543613104000 is an abundant number, since it is smaller than the sum of its proper divisors (81701420828800).

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

41543613104000 is a wasteful number, since it uses less digits than its factorization.

41543613104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 41543613104000 its reverse (40131634514), we get a palindrome (41583744738514).

The spelling of 41543613104000 in words is "forty-one trillion, five hundred forty-three billion, six hundred thirteen million, one hundred four thousand".