41005203344040 has 256 divisors, whose sum is σ = 133458723256320. Its totient is φ = 10018996761600.

The previous prime is 41005203344003. The next prime is 41005203344041. The reversal of 41005203344040 is 4044330250014.

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

It is a junction number, because it is equal to n+sod(n) for n = 41005203343989 and 41005203344007.

It is not an unprimeable number, because it can be changed into a prime (41005203344041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307810327 + ... + 307943513.

It is an arithmetic number, because the mean of its divisors is an integer number (521323137720).

Almost surely, 2^{41005203344040} is an apocalyptic number.

41005203344040 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 41005203344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66729361628160).

41005203344040 is an abundant number, since it is smaller than the sum of its proper divisors (92453519912280).

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

41005203344040 is a wasteful number, since it uses less digits than its factorization.

41005203344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134672 (or 134668 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 41005203344040 its reverse (4044330250014), we get a palindrome (45049533594054).

The spelling of 41005203344040 in words is "forty-one trillion, five billion, two hundred three million, three hundred forty-four thousand, forty".