41956860960 has 576 divisors, whose sum is σ = 174661643520. Its totient is φ = 8957952000.

The previous prime is 41956860947. The next prime is 41956860977. The reversal of 41956860960 is 6906865914.

It is a happy number.

41956860960 is a `hidden beast` number, since 4 + 19 + 568 + 6 + 0 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41956860897 and 41956860906.

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, 13979460 + ... + 13982460.

It is an arithmetic number, because the mean of its divisors is an integer number (303232020).

Almost surely, 2^41956860960 is an apocalyptic number.

41956860960 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 41956860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87330821760).

41956860960 is an abundant number, since it is smaller than the sum of its proper divisors (132704782560).

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

41956860960 is a wasteful number, since it uses less digits than its factorization.

41956860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3110 counting only the distinct ones).

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

The spelling of 41956860960 in words is "forty-one billion, nine hundred fifty-six million, eight hundred sixty thousand, nine hundred sixty".