41968610960 has 80 divisors (see below), whose sum is σ = 102000138240. Its totient is φ = 16040194560.

The previous prime is 41968610917. The next prime is 41968610969. The reversal of 41968610960 is 6901686914.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×41968610960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41968610899 and 41968610908.

It is not an unprimeable number, because it can be changed into a prime (41968610969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88814 + ... + 303026.

It is an arithmetic number, because the mean of its divisors is an integer number (1275001728).

Almost surely, 2^41968610960 is an apocalyptic number.

41968610960 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 41968610960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51000069120).

41968610960 is an abundant number, since it is smaller than the sum of its proper divisors (60031527280).

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

41968610960 is a wasteful number, since it uses less digits than its factorization.

41968610960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214336 (or 214330 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 41968610960 in words is "forty-one billion, nine hundred sixty-eight million, six hundred ten thousand, nine hundred sixty".