41623833968640 has 4320 divisors, whose sum is σ = 199462635194130. Its totient is φ = 8273060167680.

The previous prime is 41623833968627. The next prime is 41623833968657. The reversal of 41623833968640 is 4686933832614.

41623833968640 is a `hidden beast` number, since 4 + 1 + 6 + 238 + 3 + 396 + 8 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37461450571776 + 4162383396864 = 6120576^2 + 2040192^2 .

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 269 ways as a sum of consecutive naturals, for example, 1809731911669 + ... + 1809731911691.

Almost surely, 2^{41623833968640} is an apocalyptic number.

41623833968640 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 41623833968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99731317597065).

41623833968640 is an abundant number, since it is smaller than the sum of its proper divisors (157838801225490).

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

41623833968640 is an equidigital number, since it uses as much as digits as its factorization.

41623833968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 41623833968640 in words is "forty-one trillion, six hundred twenty-three billion, eight hundred thirty-three million, nine hundred sixty-eight thousand, six hundred forty".