41605800544 has 384 divisors, whose sum is σ = 115822586880. Its totient is φ = 14200012800.

The previous prime is 41605800541. The next prime is 41605800547. The reversal of 41605800544 is 44500850614.

It is an interprime number because it is at equal distance from previous prime (41605800541) and next prime (41605800547).

It is a super-2 number, since 2×41605800544² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41605800541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48547764 + ... + 48548620.

It is an arithmetic number, because the mean of its divisors is an integer number (301621320).

Almost surely, 2^41605800544 is an apocalyptic number.

41605800544 is a gapful number since it is divisible by the number (44) 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 41605800544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57911293440).

41605800544 is an abundant number, since it is smaller than the sum of its proper divisors (74216786336).

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

41605800544 is a wasteful number, since it uses less digits than its factorization.

41605800544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 41605800544 in words is "forty-one billion, six hundred five million, eight hundred thousand, five hundred forty-four".