8211417072128 has 40 divisors (see below), whose sum is σ = 16972547844780. Its totient is φ = 3964132372480.

The previous prime is 8211417072127. The next prime is 8211417072137. The reversal of 8211417072128 is 8212707141128.

It can be written as a sum of positive squares in 2 ways, for example, as 7351212761344 + 860204310784 = 2711312^2 + 927472^2 .

It is not an unprimeable number, because it can be changed into a prime (8211417072127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276501083 + ... + 276530778.

Almost surely, 2^{8211417072128} is an apocalyptic number.

It is an amenable number.

8211417072128 is an abundant number, since it is smaller than the sum of its proper divisors (8761130772652).

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

8211417072128 is an equidigital number, since it uses as much as digits as its factorization.

8211417072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553031908 (or 553031892 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 44.

The spelling of 8211417072128 in words is "eight trillion, two hundred eleven billion, four hundred seventeen million, seventy-two thousand, one hundred twenty-eight".