8142756405 has 32 divisors (see below), whose sum is σ = 15056928000. Its totient is φ = 3680573952.

The previous prime is 8142756371. The next prime is 8142756409. The reversal of 8142756405 is 5046572418.

It is a happy number.

It is not a de Polignac number, because 8142756405 - 2¹⁰ = 8142755381 is a prime.

It is a super-3 number, since 3×8142756405³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142756409) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 426330 + ... + 445019.

It is an arithmetic number, because the mean of its divisors is an integer number (470529000).

Almost surely, 2^8142756405 is an apocalyptic number.

It is an amenable number.

8142756405 is a deficient number, since it is larger than the sum of its proper divisors (6914171595).

8142756405 is a wasteful number, since it uses less digits than its factorization.

8142756405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871453.

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 8142756405 is about 90237.2229459662. Note that the first 3 decimals coincide. The cubic root of 8142756405 is about 2011.8262985775.

The spelling of 8142756405 in words is "eight billion, one hundred forty-two million, seven hundred fifty-six thousand, four hundred five".