41266122240 has 480 divisors, whose sum is σ = 156432085920. Its totient is φ = 9249816576.

The previous prime is 41266122239. The next prime is 41266122263. The reversal of 41266122240 is 4222166214.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 41266122198 and 41266122207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19943926 + ... + 19945994.

It is an arithmetic number, because the mean of its divisors is an integer number (325900179).

Almost surely, 2^41266122240 is an apocalyptic number.

41266122240 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 41266122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78216042960).

41266122240 is an abundant number, since it is smaller than the sum of its proper divisors (115165963680).

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

41266122240 is a wasteful number, since it uses less digits than its factorization.

41266122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 41266122240 its reverse (4222166214), we get a palindrome (45488288454).

The spelling of 41266122240 in words is "forty-one billion, two hundred sixty-six million, one hundred twenty-two thousand, two hundred forty".