41679280544 has 144 divisors (see below), whose sum is σ = 91718477928. Its totient is φ = 18627840000.

The previous prime is 41679280523. The next prime is 41679280561. The reversal of 41679280544 is 44508297614.

It can be written as a sum of positive squares in 4 ways, for example, as 40486268944 + 1193011600 = 201212^2 + 34540^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41679280492 and 41679280501.

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, 77040914 + ... + 77041454.

Almost surely, 2^41679280544 is an apocalyptic number.

41679280544 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 41679280544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45859238964).

41679280544 is an abundant number, since it is smaller than the sum of its proper divisors (50039197384).

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

41679280544 is a wasteful number, since it uses less digits than its factorization.

41679280544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

It can be divided in two parts, 41679 and 280544, that added together give a palindrome (322223).

The spelling of 41679280544 in words is "forty-one billion, six hundred seventy-nine million, two hundred eighty thousand, five hundred forty-four".