41608275408 has 480 divisors, whose sum is σ = 146073507840. Its totient is φ = 10790599680.

The previous prime is 41608275391. The next prime is 41608275461. The reversal of 41608275408 is 80457280614.

41608275408 is a `hidden beast` number, since 4 + 160 + 82 + 7 + 5 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50311891 + ... + 50312717.

It is an arithmetic number, because the mean of its divisors is an integer number (304319808).

Almost surely, 2^41608275408 is an apocalyptic number.

41608275408 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 41608275408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73036753920).

41608275408 is an abundant number, since it is smaller than the sum of its proper divisors (104465232432).

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

41608275408 is a wasteful number, since it uses less digits than its factorization.

41608275408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 41608275408 in words is "forty-one billion, six hundred eight million, two hundred seventy-five thousand, four hundred eight".