41032634229120 has 256 divisors, whose sum is σ = 132464170598400. Its totient is φ = 10802137522176.

The previous prime is 41032634229113. The next prime is 41032634229121. The reversal of 41032634229120 is 2192243623014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41032634229121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1771155777 + ... + 1771178943.

It is an arithmetic number, because the mean of its divisors is an integer number (517438166400).

Almost surely, 2^{41032634229120} is an apocalyptic number.

41032634229120 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 41032634229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66232085299200).

41032634229120 is an abundant number, since it is smaller than the sum of its proper divisors (91431536369280).

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

41032634229120 is a wasteful number, since it uses less digits than its factorization.

41032634229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34945 (or 34933 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 41032634229120 in words is "forty-one trillion, thirty-two billion, six hundred thirty-four million, two hundred twenty-nine thousand, one hundred twenty".