41505281664 has 256 divisors, whose sum is σ = 137749939200. Its totient is φ = 10757283840.

The previous prime is 41505281659. The next prime is 41505281681. The reversal of 41505281664 is 46618250514.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16822959 + ... + 16825425.

It is an arithmetic number, because the mean of its divisors is an integer number (538085700).

Almost surely, 2^41505281664 is an apocalyptic number.

41505281664 is a gapful number since it is divisible by the number (44) 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 41505281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68874969600).

41505281664 is an abundant number, since it is smaller than the sum of its proper divisors (96244657536).

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

41505281664 is a wasteful number, since it uses less digits than its factorization.

41505281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 41505281664 in words is "forty-one billion, five hundred five million, two hundred eighty-one thousand, six hundred sixty-four".