41106881952240 has 640 divisors, whose sum is σ = 143029574688000. Its totient is φ = 9700387061760.

The previous prime is 41106881952239. The next prime is 41106881952247. The reversal of 41106881952240 is 4225918860114.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41106881952247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2277506736 + ... + 2277524784.

It is an arithmetic number, because the mean of its divisors is an integer number (223483710450).

Almost surely, 2^{41106881952240} is an apocalyptic number.

41106881952240 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 41106881952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71514787344000).

41106881952240 is an abundant number, since it is smaller than the sum of its proper divisors (101922692735760).

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

41106881952240 is a wasteful number, since it uses less digits than its factorization.

41106881952240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18405 (or 18399 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 41106881952240 in words is "forty-one trillion, one hundred six billion, eight hundred eighty-one million, nine hundred fifty-two thousand, two hundred forty".