8017105040640 has 360 divisors, whose sum is σ = 28815390793728. Its totient is φ = 2128301568000.

The previous prime is 8017105040639. The next prime is 8017105040683. The reversal of 8017105040640 is 460405017108.

It is a happy number.

8017105040640 is a `hidden beast` number, since 8 + 0 + 1 + 7 + 1 + 0 + 5 + 0 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8017105040595 and 8017105040604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22947265 + ... + 23294015.

Almost surely, 2^{8017105040640} is an apocalyptic number.

8017105040640 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 8017105040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407695396864).

8017105040640 is an abundant number, since it is smaller than the sum of its proper divisors (20798285753088).

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

8017105040640 is a wasteful number, since it uses less digits than its factorization.

8017105040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347007 (or 346984 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 8017105040640 in words is "eight trillion, seventeen billion, one hundred five million, forty thousand, six hundred forty".