8134262231040 has 1664 divisors, whose sum is σ = 32882684313600. Its totient is φ = 1889796096000.

The previous prime is 8134262231033. The next prime is 8134262231087. The reversal of 8134262231040 is 401322624318.

8134262231040 is a `hidden beast` number, since 8 + 1 + 3 + 426 + 223 + 1 + 0 + 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 = 8134262230986 and 8134262231004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33752125320 + ... + 33752125560.

Almost surely, 2^{8134262231040} is an apocalyptic number.

8134262231040 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 8134262231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441342156800).

8134262231040 is an abundant number, since it is smaller than the sum of its proper divisors (24748422082560).

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

8134262231040 is a wasteful number, since it uses less digits than its factorization.

8134262231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 8134262231040 its reverse (401322624318), we get a palindrome (8535584855358).

The spelling of 8134262231040 in words is "eight trillion, one hundred thirty-four billion, two hundred sixty-two million, two hundred thirty-one thousand, forty".