41538048200064 has 384 divisors, whose sum is σ = 132885740311200. Its totient is φ = 12767939518464.

The previous prime is 41538048200003. The next prime is 41538048200069. The reversal of 41538048200064 is 46000284083514.

41538048200064 is a `hidden beast` number, since 4 + 1 + 5 + 380 + 4 + 8 + 200 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×41538048200064² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41538048199992 and 41538048200019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41538048200069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582276142 + ... + 582347474.

Almost surely, 2^{41538048200064} 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 41538048200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66442870155600).

41538048200064 is an abundant number, since it is smaller than the sum of its proper divisors (91347692111136).

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

41538048200064 is a wasteful number, since it uses less digits than its factorization.

41538048200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72379 (or 72348 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 41538048200064 in words is "forty-one trillion, five hundred thirty-eight billion, forty-eight million, two hundred thousand, sixty-four".