41605720836768 has 384 divisors, whose sum is σ = 134121963386880. Its totient is φ = 12597843168000.

The previous prime is 41605720836707. The next prime is 41605720836773. The reversal of 41605720836768 is 86763802750614.

41605720836768 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 5 + 7 + 208 + 367 + 68 = 666.

It is a super-2 number, since 2×41605720836768² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1006139293 + ... + 1006180643.

It is an arithmetic number, because the mean of its divisors is an integer number (349275946320).

Almost surely, 2^{41605720836768} is an apocalyptic number.

41605720836768 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 41605720836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67060981693440).

41605720836768 is an abundant number, since it is smaller than the sum of its proper divisors (92516242550112).

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

41605720836768 is a wasteful number, since it uses less digits than its factorization.

41605720836768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42700 (or 42674 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 41605720836768 in words is "forty-one trillion, six hundred five billion, seven hundred twenty million, eight hundred thirty-six thousand, seven hundred sixty-eight".