8226251671040 has 640 divisors, whose sum is σ = 23027089421952. Its totient is φ = 2791047168000.

The previous prime is 8226251671039. The next prime is 8226251671081. The reversal of 8226251671040 is 401761526228.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 8226251670982 and 8226251671000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7526304734 + ... + 7526305826.

Almost surely, 2^{8226251671040} is an apocalyptic number.

8226251671040 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 8226251671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11513544710976).

8226251671040 is an abundant number, since it is smaller than the sum of its proper divisors (14800837750912).

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

8226251671040 is a wasteful number, since it uses less digits than its factorization.

8226251671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 8226251671040 in words is "eight trillion, two hundred twenty-six billion, two hundred fifty-one million, six hundred seventy-one thousand, forty".