41622680736 has 504 divisors, whose sum is σ = 153968448564. Its totient is φ = 10973491200.

The previous prime is 41622680731. The next prime is 41622680753. The reversal of 41622680736 is 63708622614.

41622680736 is a `hidden beast` number, since 416 + 226 + 8 + 0 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40136115600 + 1486565136 = 200340^2 + 38556^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 41622680691 and 41622680700.

It is not an unprimeable number, because it can be changed into a prime (41622680731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14858536 + ... + 14861336.

Almost surely, 2^41622680736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41622680736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76984224282).

41622680736 is an abundant number, since it is smaller than the sum of its proper divisors (112345767828).

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

41622680736 is a wasteful number, since it uses less digits than its factorization.

41622680736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 41622680736 in words is "forty-one billion, six hundred twenty-two million, six hundred eighty thousand, seven hundred thirty-six".