41029208064 has 288 divisors, whose sum is σ = 129215399040. Its totient is φ = 12466225152.

The previous prime is 41029208041. The next prime is 41029208089. The reversal of 41029208064 is 46080292014.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19887097 + ... + 19889159.

It is an arithmetic number, because the mean of its divisors is an integer number (448664580).

Almost surely, 2^41029208064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41029208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64607699520).

41029208064 is an abundant number, since it is smaller than the sum of its proper divisors (88186190976).

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

41029208064 is a wasteful number, since it uses less digits than its factorization.

41029208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41029208064 in words is "forty-one billion, twenty-nine million, two hundred eight thousand, sixty-four".