41695032960 has 768 divisors, whose sum is σ = 179331667200. Its totient is φ = 9111674880.

The previous prime is 41695032931. The next prime is 41695032989. The reversal of 41695032960 is 6923059614.

41695032960 is a `hidden beast` number, since 4 + 1 + 69 + 503 + 29 + 60 = 666.

41695032960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41695032931) and next prime (41695032989).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19473490 + ... + 19475630.

It is an arithmetic number, because the mean of its divisors is an integer number (233504775).

Almost surely, 2^41695032960 is an apocalyptic number.

41695032960 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 41695032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89665833600).

41695032960 is an abundant number, since it is smaller than the sum of its proper divisors (137636634240).

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

41695032960 is a wasteful number, since it uses less digits than its factorization.

41695032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 41695032960 in words is "forty-one billion, six hundred ninety-five million, thirty-two thousand, nine hundred sixty".