41388513058944 has 448 divisors, whose sum is σ = 137785324428000. Its totient is φ = 12301220929536.

The previous prime is 41388513058943. The next prime is 41388513058951. The reversal of 41388513058944 is 44985031588314.

It is a happy number.

41388513058944 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 8 + 5 + 1 + 3 + 0 + 589 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (41388513058943) 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 55 ways as a sum of consecutive naturals, for example, 29453167 + ... + 30826385.

Almost surely, 2^{41388513058944} 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 41388513058944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68892662214000).

41388513058944 is an abundant number, since it is smaller than the sum of its proper divisors (96396811369056).

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

41388513058944 is a wasteful number, since it uses less digits than its factorization.

41388513058944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373287 (or 1373260 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 41388513058944 in words is "forty-one trillion, three hundred eighty-eight billion, five hundred thirteen million, fifty-eight thousand, nine hundred forty-four".