41978695680 has 312 divisors, whose sum is σ = 154079197272. Its totient is φ = 10535043072.

The previous prime is 41978695643. The next prime is 41978695711. The reversal of 41978695680 is 8659687914.

41978695680 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 8 + 69 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1181159424 + 40797536256 = 34368^2 + 201984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3126742 + ... + 3140138.

It is an arithmetic number, because the mean of its divisors is an integer number (493843581).

Almost surely, 2^41978695680 is an apocalyptic number.

41978695680 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 41978695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77039598636).

41978695680 is an abundant number, since it is smaller than the sum of its proper divisors (112100501592).

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

41978695680 is a wasteful number, since it uses less digits than its factorization.

41978695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13449 (or 13424 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 41978695680 in words is "forty-one billion, nine hundred seventy-eight million, six hundred ninety-five thousand, six hundred eighty".