8011456123440 has 960 divisors, whose sum is σ = 32944070587392. Its totient is φ = 1589575680000.

The previous prime is 8011456123427. The next prime is 8011456123481. The reversal of 8011456123440 is 443216541108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2002361440 + ... + 2002365440.

Almost surely, 2^{8011456123440} is an apocalyptic number.

8011456123440 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 8011456123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472035293696).

8011456123440 is an abundant number, since it is smaller than the sum of its proper divisors (24932614463952).

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

8011456123440 is a wasteful number, since it uses less digits than its factorization.

8011456123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 8011456123440 in words is "eight trillion, eleven billion, four hundred fifty-six million, one hundred twenty-three thousand, four hundred forty".