41416227072160 has 96 divisors (see below), whose sum is σ = 98271765905040. Its totient is φ = 16494384488448.

The previous prime is 41416227072047. The next prime is 41416227072167. The reversal of 41416227072160 is 6127072261414.

It can be written as a sum of positive squares in 8 ways, for example, as 36070642621456 + 5345584450704 = 6005884^2 + 2312052^2 .

It is not an unprimeable number, because it can be changed into a prime (41416227072167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039831126 + ... + 1039870954.

Almost surely, 2^{41416227072160} is an apocalyptic number.

41416227072160 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 41416227072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49135882952520).

41416227072160 is an abundant number, since it is smaller than the sum of its proper divisors (56855538832880).

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

41416227072160 is a wasteful number, since it uses less digits than its factorization.

41416227072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67970 (or 67962 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 41416227072160 in words is "forty-one trillion, four hundred sixteen billion, two hundred twenty-seven million, seventy-two thousand, one hundred sixty".