41605599264768 has 1632 divisors, whose sum is σ = 154701595556352. Its totient is φ = 10551149199360.

The previous prime is 41605599264767. The next prime is 41605599264769. The reversal of 41605599264768 is 86746299550614.

41605599264768 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 5 + 599 + 26 + 4 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41605599264767) and next prime (41605599264769).

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

It is a junction number, because it is equal to n+sod(n) for n = 41605599264696 and 41605599264705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41605599264767) by changing a digit.

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, 368191143880 + ... + 368191143992.

It is an arithmetic number, because the mean of its divisors is an integer number (94792644336).

Almost surely, 2^{41605599264768} is an apocalyptic number.

41605599264768 is a gapful number since it is divisible by the number (48) 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 41605599264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77350797778176).

41605599264768 is an abundant number, since it is smaller than the sum of its proper divisors (113095996291584).

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

41605599264768 is an equidigital number, since it uses as much as digits as its factorization.

41605599264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 41605599264768 in words is "forty-one trillion, six hundred five billion, five hundred ninety-nine million, two hundred sixty-four thousand, seven hundred sixty-eight".