126417841441728 has 224 divisors, whose sum is σ = 345381460193280. Its totient is φ = 40778375823360.

The previous prime is 126417841441721. The next prime is 126417841441729. The reversal of 126417841441728 is 827144148714621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126417841441721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8005681513 + ... + 8005697303.

It is an arithmetic number, because the mean of its divisors is an integer number (1541881518720).

Almost surely, 2^{126417841441728} 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 126417841441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172690730096640).

126417841441728 is an abundant number, since it is smaller than the sum of its proper divisors (218963618751552).

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

126417841441728 is a wasteful number, since it uses less digits than its factorization.

126417841441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21875 (or 21865 counting only the distinct ones).

The product of its digits is 19267584, while the sum is 60.

The spelling of 126417841441728 in words is "one hundred twenty-six trillion, four hundred seventeen billion, eight hundred forty-one million, four hundred forty-one thousand, seven hundred twenty-eight".