41596338981960 has 384 divisors, whose sum is σ = 161243504997120. Its totient is φ = 9447173379072.

The previous prime is 41596338981947. The next prime is 41596338982001. The reversal of 41596338981960 is 6918983369514.

41596338981960 is a `hidden beast` number, since 4 + 1 + 59 + 6 + 3 + 389 + 8 + 196 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8735302 + ... + 12629258.

It is an arithmetic number, because the mean of its divisors is an integer number (419904960930).

Almost surely, 2^{41596338981960} is an apocalyptic number.

41596338981960 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 41596338981960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80621752498560).

41596338981960 is an abundant number, since it is smaller than the sum of its proper divisors (119647166015160).

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

41596338981960 is a wasteful number, since it uses less digits than its factorization.

41596338981960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894147 (or 3894131 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 41596338981960 in words is "forty-one trillion, five hundred ninety-six billion, three hundred thirty-eight million, nine hundred eighty-one thousand, nine hundred sixty".