41082550997760 has 576 divisors, whose sum is σ = 146306231285760. Its totient is φ = 10916328407040.

The previous prime is 41082550997693. The next prime is 41082550997779. The reversal of 41082550997760 is 6779905528014.

41082550997760 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 2 + 550 + 9 + 9 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15380961225 + ... + 15380963895.

It is an arithmetic number, because the mean of its divisors is an integer number (254003873760).

Almost surely, 2^{41082550997760} is an apocalyptic number.

41082550997760 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 41082550997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73153115642880).

41082550997760 is an abundant number, since it is smaller than the sum of its proper divisors (105223680288000).

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

41082550997760 is a wasteful number, since it uses less digits than its factorization.

41082550997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 41082550997760 in words is "forty-one trillion, eighty-two billion, five hundred fifty million, nine hundred ninety-seven thousand, seven hundred sixty".