41117375889408 has 1024 divisors, whose sum is σ = 144978099840000. Its totient is φ = 10271317819392.

The previous prime is 41117375889397. The next prime is 41117375889409. The reversal of 41117375889408 is 80498857371114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41117375889409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8328410716 + ... + 8328415652.

It is an arithmetic number, because the mean of its divisors is an integer number (141580175625).

Almost surely, 2^{41117375889408} is an apocalyptic number.

41117375889408 is a gapful number since it is divisible by the number (48) 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 41117375889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72489049920000).

41117375889408 is an abundant number, since it is smaller than the sum of its proper divisors (103860723950592).

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

41117375889408 is an equidigital number, since it uses as much as digits as its factorization.

41117375889408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 66.

The spelling of 41117375889408 in words is "forty-one trillion, one hundred seventeen billion, three hundred seventy-five million, eight hundred eighty-nine thousand, four hundred eight".