41055834820 has 216 divisors, whose sum is σ = 118724464152. Its totient is φ = 11811824640.

The previous prime is 41055834773. The next prime is 41055834821. The reversal of 41055834820 is 2843855014.

It can be written as a sum of positive squares in 4 ways, for example, as 8424302656 + 32631532164 = 91784^2 + 180642^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41055834821) 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 71 ways as a sum of consecutive naturals, for example, 1528224 + ... + 1554856.

It is an arithmetic number, because the mean of its divisors is an integer number (549650297).

Almost surely, 2^41055834820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41055834820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59362232076).

41055834820 is an abundant number, since it is smaller than the sum of its proper divisors (77668629332).

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

41055834820 is a wasteful number, since it uses less digits than its factorization.

41055834820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26691 (or 26671 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 41055834820 in words is "forty-one billion, fifty-five million, eight hundred thirty-four thousand, eight hundred twenty".