41181643320480 has 1152 divisors, whose sum is σ = 160078812461568. Its totient is φ = 9571225337856.

The previous prime is 41181643320463. The next prime is 41181643320487. The reversal of 41181643320480 is 8402334618114.

41181643320480 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 1 + 6 + 433 + 204 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41181643320487) 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, 4676008237 + ... + 4676017043.

It is an arithmetic number, because the mean of its divisors is an integer number (138957302484).

Almost surely, 2^{41181643320480} is an apocalyptic number.

41181643320480 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 41181643320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80039406230784).

41181643320480 is an abundant number, since it is smaller than the sum of its proper divisors (118897169141088).

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

41181643320480 is a wasteful number, since it uses less digits than its factorization.

41181643320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 41181643320480 its reverse (8402334618114), we get a palindrome (49583977938594).

The spelling of 41181643320480 in words is "forty-one trillion, one hundred eighty-one billion, six hundred forty-three million, three hundred twenty thousand, four hundred eighty".