41818008960 has 1728 divisors, whose sum is σ = 199697827680. Its totient is φ = 7867072512.

The previous prime is 41818008931. The next prime is 41818008971. The reversal of 41818008960 is 6980081814.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2200947831 + ... + 2200947849.

Almost surely, 2^41818008960 is an apocalyptic number.

41818008960 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 41818008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99848913840).

41818008960 is an abundant number, since it is smaller than the sum of its proper divisors (157879818720).

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

41818008960 is a wasteful number, since it uses less digits than its factorization.

41818008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 41818008960 in words is "forty-one billion, eight hundred eighteen million, eight thousand, nine hundred sixty".