41389973718016 has 495 divisors, whose sum is σ = 106381507339653. Its totient is φ = 16082730639360.

The previous prime is 41389973718013. The next prime is 41389973718017. The reversal of 41389973718016 is 61081737998314.

The square root of 41389973718016 is 6433504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22497946240000 + 18892027478016 = 4743200^2 + 4346496^2 .

It is not an unprimeable number, because it can be changed into a prime (41389973718013) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 110965076806 + ... + 110965077178.

Almost surely, 2^{41389973718016} is an apocalyptic number.

41389973718016 is the 6433504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41389973718016

41389973718016 is an abundant number, since it is smaller than the sum of its proper divisors (64991533621637).

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

41389973718016 is an frugal number, since it uses more digits than its factorization.

41389973718016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 67.

The spelling of 41389973718016 in words is "forty-one trillion, three hundred eighty-nine billion, nine hundred seventy-three million, seven hundred eighteen thousand, sixteen".