41533702007100 has 144 divisors (see below), whose sum is σ = 121069251072000. Its totient is φ = 10992964363520.

The previous prime is 41533702007071. The next prime is 41533702007129. The reversal of 41533702007100 is 170020733514.

41533702007100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41533702007071) and next prime (41533702007129).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58607077 + ... + 59311523.

It is an arithmetic number, because the mean of its divisors is an integer number (840758688000).

Almost surely, 2^{41533702007100} 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 41533702007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60534625536000).

41533702007100 is an abundant number, since it is smaller than the sum of its proper divisors (79535549064900).

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

41533702007100 is a wasteful number, since it uses less digits than its factorization.

41533702007100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705932 (or 705925 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 41533702007100 in words is "forty-one trillion, five hundred thirty-three billion, seven hundred two million, seven thousand, one hundred".