41409932928 has 768 divisors, whose sum is σ = 146695127040. Its totient is φ = 10241925120.

The previous prime is 41409932911. The next prime is 41409932939. The reversal of 41409932928 is 82923990414.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326062401 + ... + 326062527.

It is an arithmetic number, because the mean of its divisors is an integer number (191009280).

Almost surely, 2^41409932928 is an apocalyptic number.

41409932928 is a gapful number since it is divisible by the number (48) 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 41409932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73347563520).

41409932928 is an abundant number, since it is smaller than the sum of its proper divisors (105285194112).

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

41409932928 is a wasteful number, since it uses less digits than its factorization.

41409932928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 41409932928 in words is "forty-one billion, four hundred nine million, nine hundred thirty-two thousand, nine hundred twenty-eight".