41770505088 has 480 divisors, whose sum is σ = 139128897600. Its totient is φ = 12421693440.

The previous prime is 41770505071. The next prime is 41770505111. The reversal of 41770505088 is 88050507714.

It is a happy number.

41770505088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54317568 + ... + 54318336.

It is an arithmetic number, because the mean of its divisors is an integer number (289851870).

Almost surely, 2^41770505088 is an apocalyptic number.

41770505088 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 41770505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69564448800).

41770505088 is an abundant number, since it is smaller than the sum of its proper divisors (97358392512).

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

41770505088 is a wasteful number, since it uses less digits than its factorization.

41770505088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 41770505088 in words is "forty-one billion, seven hundred seventy million, five hundred five thousand, eighty-eight".