41533979760 has 960 divisors, whose sum is σ = 185725612800. Its totient is φ = 8236892160.

The previous prime is 41533979737. The next prime is 41533979779. The reversal of 41533979760 is 6797933514.

It is a happy number.

41533979760 is a `hidden beast` number, since 41 + 533 + 9 + 7 + 9 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41533979697 and 41533979706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54577780 + ... + 54578540.

It is an arithmetic number, because the mean of its divisors is an integer number (193464180).

Almost surely, 2^41533979760 is an apocalyptic number.

41533979760 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 41533979760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92862806400).

41533979760 is an abundant number, since it is smaller than the sum of its proper divisors (144191633040).

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

41533979760 is a wasteful number, since it uses less digits than its factorization.

41533979760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 41533979760 in words is "forty-one billion, five hundred thirty-three million, nine hundred seventy-nine thousand, seven hundred sixty".