41040012013000 has 768 divisors, whose sum is σ = 130086653598720. Its totient is φ = 11792309760000.

The previous prime is 41040012012983. The next prime is 41040012013001. The reversal of 41040012013000 is 31021004014.

It is not an unprimeable number, because it can be changed into a prime (41040012013001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10493481045 + ... + 10493484955.

It is an arithmetic number, because the mean of its divisors is an integer number (169383663540).

Almost surely, 2^{41040012013000} is an apocalyptic number.

41040012013000 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 41040012013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65043326799360).

41040012013000 is an abundant number, since it is smaller than the sum of its proper divisors (89046641585720).

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

41040012013000 is a wasteful number, since it uses less digits than its factorization.

41040012013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41040012013000 its reverse (31021004014), we get a palindrome (41071033017014).

The spelling of 41040012013000 in words is "forty-one trillion, forty billion, twelve million, thirteen thousand".