41818729680 has 640 divisors, whose sum is σ = 183028285440. Its totient is φ = 8537425920.

The previous prime is 41818729657. The next prime is 41818729681. The reversal of 41818729680 is 8692781814.

41818729680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41818729681) 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, 6089929 + ... + 6096791.

It is an arithmetic number, because the mean of its divisors is an integer number (285981696).

Almost surely, 2^41818729680 is an apocalyptic number.

41818729680 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 41818729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91514142720).

41818729680 is an abundant number, since it is smaller than the sum of its proper divisors (141209555760).

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

41818729680 is a wasteful number, since it uses less digits than its factorization.

41818729680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 41818729680 in words is "forty-one billion, eight hundred eighteen million, seven hundred twenty-nine thousand, six hundred eighty".