41205041280 has 1024 divisors, whose sum is σ = 166589337600. Its totient is φ = 9555148800.

The previous prime is 41205041263. The next prime is 41205041281. The reversal of 41205041280 is 8214050214.

41205041280 is a `hidden beast` number, since 4 + 120 + 50 + 412 + 80 = 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 (41205041281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 424794192 + ... + 424794288.

It is an arithmetic number, because the mean of its divisors is an integer number (162684900).

Almost surely, 2^41205041280 is an apocalyptic number.

41205041280 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 41205041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83294668800).

41205041280 is an abundant number, since it is smaller than the sum of its proper divisors (125384296320).

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

41205041280 is a wasteful number, since it uses less digits than its factorization.

41205041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 41205041280 its reverse (8214050214), we get a palindrome (49419091494).

The spelling of 41205041280 in words is "forty-one billion, two hundred five million, forty-one thousand, two hundred eighty".