41220095688 has 108 divisors (see below), whose sum is σ = 113569265745. Its totient is φ = 13506312960.

The previous prime is 41220095681. The next prime is 41220095701. The reversal of 41220095688 is 88659002214.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41220095688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38902828644 + 2317267044 = 197238^2 + 48138^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=143562.

It is not an unprimeable number, because it can be changed into a prime (41220095681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122314656 + ... + 122314992.

Almost surely, 2^41220095688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41220095688

41220095688 is an abundant number, since it is smaller than the sum of its proper divisors (72349170057).

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

41220095688 is an equidigital number, since it uses as much as digits as its factorization.

41220095688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 41220095688 in words is "forty-one billion, two hundred twenty million, ninety-five thousand, six hundred eighty-eight".