41581226016 has 288 divisors, whose sum is σ = 139110168960. Its totient is φ = 12051832320.

The previous prime is 41581225999. The next prime is 41581226117. The reversal of 41581226016 is 61062218514.

It is a happy number.

41581226016 is a `hidden beast` number, since 4 + 1 + 581 + 2 + 2 + 60 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2395866 + ... + 2413158.

It is an arithmetic number, because the mean of its divisors is an integer number (483021420).

Almost surely, 2^41581226016 is an apocalyptic number.

41581226016 is a gapful number since it is divisible by the number (46) 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 41581226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69555084480).

41581226016 is an abundant number, since it is smaller than the sum of its proper divisors (97528942944).

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

41581226016 is a wasteful number, since it uses less digits than its factorization.

41581226016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17357 (or 17332 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 41581226016 in words is "forty-one billion, five hundred eighty-one million, two hundred twenty-six thousand, sixteen".