41409205840 has 80 divisors (see below), whose sum is σ = 97984728576. Its totient is φ = 16270502400.

The previous prime is 41409205811. The next prime is 41409205847. The reversal of 41409205840 is 4850290414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 41409205840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41409205847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3952449 + ... + 3962911.

Almost surely, 2^41409205840 is an apocalyptic number.

41409205840 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 41409205840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48992364288).

41409205840 is an abundant number, since it is smaller than the sum of its proper divisors (56575522736).

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

41409205840 is a wasteful number, since it uses less digits than its factorization.

41409205840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348 (or 11342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 41409205840 in words is "forty-one billion, four hundred nine million, two hundred five thousand, eight hundred forty".