41993889092064 has 2304 divisors, whose sum is σ = 164902581043200. Its totient is φ = 10275138220032.

The previous prime is 41993889092053. The next prime is 41993889092117. The reversal of 41993889092064 is 46029098839914.

41993889092064 is a `hidden beast` number, since 4 + 19 + 9 + 388 + 90 + 92 + 0 + 64 = 666.

41993889092064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 41993889091983 and 41993889092001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136787912199 + ... + 136787912505.

It is an arithmetic number, because the mean of its divisors is an integer number (71572300800).

Almost surely, 2^{41993889092064} 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 41993889092064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82451290521600).

41993889092064 is an abundant number, since it is smaller than the sum of its proper divisors (122908691951136).

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

41993889092064 is a wasteful number, since it uses less digits than its factorization.

41993889092064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 41993889092064 in words is "forty-one trillion, nine hundred ninety-three billion, eight hundred eighty-nine million, ninety-two thousand, sixty-four".