41240022024240 has 480 divisors, whose sum is σ = 161911958400000. Its totient is φ = 9617104733184.

The previous prime is 41240022024163. The next prime is 41240022024241. The reversal of 41240022024240 is 4242022004214.

41240022024240 is a `hidden beast` number, since 4 + 12 + 4 + 0 + 0 + 220 + 2 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41240022024241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3962761 + ... + 9908759.

It is an arithmetic number, because the mean of its divisors is an integer number (337316580000).

Almost surely, 2^{41240022024240} is an apocalyptic number.

41240022024240 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 41240022024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80955979200000).

41240022024240 is an abundant number, since it is smaller than the sum of its proper divisors (120671936375760).

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

41240022024240 is a wasteful number, since it uses less digits than its factorization.

41240022024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946066 (or 5946041 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 41240022024240 its reverse (4242022004214), we get a palindrome (45482044028454).

The spelling of 41240022024240 in words is "forty-one trillion, two hundred forty billion, twenty-two million, twenty-four thousand, two hundred forty".