8138726077440 has 264 divisors, whose sum is σ = 30281202417312. Its totient is φ = 1860280074240.

The previous prime is 8138726077439. The next prime is 8138726077441. The reversal of 8138726077440 is 447706278318.

It is an interprime number because it is at equal distance from previous prime (8138726077439) and next prime (8138726077441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138726077441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4654146 + ... + 6159425.

It is an arithmetic number, because the mean of its divisors is an integer number (114701524308).

Almost surely, 2^{8138726077440} is an apocalyptic number.

8138726077440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8138726077440 is an abundant number, since it is smaller than the sum of its proper divisors (22142476339872).

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

8138726077440 is a wasteful number, since it uses less digits than its factorization.

8138726077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813613 (or 10813588 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 8138726077440 in words is "eight trillion, one hundred thirty-eight billion, seven hundred twenty-six million, seventy-seven thousand, four hundred forty".