41005353000 has 128 divisors (see below), whose sum is σ = 128587979520. Its totient is φ = 10879097600.

The previous prime is 41005352989. The next prime is 41005353007. The reversal of 41005353000 is 35350014.

It is not an unprimeable number, because it can be changed into a prime (41005353007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556309 + ... + 625691.

It is an arithmetic number, because the mean of its divisors is an integer number (1004593590).

Almost surely, 2^41005353000 is an apocalyptic number.

41005353000 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 41005353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64293989760).

41005353000 is an abundant number, since it is smaller than the sum of its proper divisors (87582626520).

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

41005353000 is a wasteful number, since it uses less digits than its factorization.

41005353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69604 (or 69590 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The spelling of 41005353000 in words is "forty-one billion, five million, three hundred fifty-three thousand".