8090105063040 has 3456 divisors, whose sum is σ = 40691184131520. Its totient is φ = 1458858885120.

The previous prime is 8090105063021. The next prime is 8090105063087. The reversal of 8090105063040 is 403605010908.

8090105063040 is a `hidden beast` number, since 8 + 0 + 9 + 0 + 10 + 5 + 0 + 630 + 4 + 0 = 666.

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 = 8090105062986 and 8090105063004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8919630267 + ... + 8919631173.

Almost surely, 2^{8090105063040} is an apocalyptic number.

8090105063040 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 8090105063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20345592065760).

8090105063040 is an abundant number, since it is smaller than the sum of its proper divisors (32601079068480).

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

8090105063040 is a wasteful number, since it uses less digits than its factorization.

8090105063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 8090105063040 in words is "eight trillion, ninety billion, one hundred five million, sixty-three thousand, forty".