41966956080 has 240 divisors, whose sum is σ = 164113335360. Its totient is φ = 9411397632.

The previous prime is 41966956067. The next prime is 41966956103. The reversal of 41966956080 is 8065966914.

It is a happy number.

41966956080 is a `hidden beast` number, since 4 + 19 + 6 + 69 + 560 + 8 + 0 = 666.

41966956080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41966956080² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188566 + ... + 345674.

It is an arithmetic number, because the mean of its divisors is an integer number (683805564).

Almost surely, 2^41966956080 is an apocalyptic number.

41966956080 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 41966956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82056667680).

41966956080 is an abundant number, since it is smaller than the sum of its proper divisors (122146379280).

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

41966956080 is a wasteful number, since it uses less digits than its factorization.

41966956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157188 (or 157179 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 41966956080 in words is "forty-one billion, nine hundred sixty-six million, nine hundred fifty-six thousand, eighty".