41864126416960 has 56 divisors (see below), whose sum is σ = 99689896287576. Its totient is φ = 16745491783680.

The previous prime is 41864126416933. The next prime is 41864126416999. The reversal of 41864126416960 is 6961462146814.

It can be written as a sum of positive squares in 4 ways, for example, as 4037591909376 + 37826534507584 = 2009376^2 + 6150328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41864126416895 and 41864126416904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36679864 + ... + 37803976.

It is an arithmetic number, because the mean of its divisors is an integer number (1780176719421).

Almost surely, 2^{41864126416960} is an apocalyptic number.

41864126416960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41864126416960 is an abundant number, since it is smaller than the sum of its proper divisors (57825769870616).

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

41864126416960 is a wasteful number, since it uses less digits than its factorization.

41864126416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240511 (or 1240501 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 41864126416960 in words is "forty-one trillion, eight hundred sixty-four billion, one hundred twenty-six million, four hundred sixteen thousand, nine hundred sixty".