8217028847040 has 224 divisors, whose sum is σ = 28243025104896. Its totient is φ = 2012062863360.

The previous prime is 8217028846981. The next prime is 8217028847051. The reversal of 8217028847040 is 407488207128.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660079 + ... + 4107281.

It is an arithmetic number, because the mean of its divisors is an integer number (126084933504).

Almost surely, 2^{8217028847040} is an apocalyptic number.

8217028847040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8217028847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14121512552448).

8217028847040 is an abundant number, since it is smaller than the sum of its proper divisors (20025996257856).

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

8217028847040 is a wasteful number, since it uses less digits than its factorization.

8217028847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447427 (or 3447417 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 51.

The spelling of 8217028847040 in words is "eight trillion, two hundred seventeen billion, twenty-eight million, eight hundred forty-seven thousand, forty".