41634541770140 has 192 divisors, whose sum is σ = 97909067063808. Its totient is φ = 14740106342400.

The previous prime is 41634541770113. The next prime is 41634541770149. The reversal of 41634541770140 is 4107714543614.

41634541770140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41634541770149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13504553039 + ... + 13504556121.

It is an arithmetic number, because the mean of its divisors is an integer number (509943057624).

Almost surely, 2^{41634541770140} 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 41634541770140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48954533531904).

41634541770140 is an abundant number, since it is smaller than the sum of its proper divisors (56274525293668).

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

41634541770140 is a wasteful number, since it uses less digits than its factorization.

41634541770140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 41634541770140 in words is "forty-one trillion, six hundred thirty-four billion, five hundred forty-one million, seven hundred seventy thousand, one hundred forty".