8132016440 has 32 divisors (see below), whose sum is σ = 18927972000. Its totient is φ = 3140640384.

The previous prime is 8132016421. The next prime is 8132016449. The reversal of 8132016440 is 446102318.

It is a super-3 number, since 3×8132016440³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132016449) 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 7 ways as a sum of consecutive naturals, for example, 3504020 + ... + 3506339.

It is an arithmetic number, because the mean of its divisors is an integer number (591499125).

Almost surely, 2^8132016440 is an apocalyptic number.

It is an amenable number.

8132016440 is an abundant number, since it is smaller than the sum of its proper divisors (10795955560).

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

8132016440 is a wasteful number, since it uses less digits than its factorization.

8132016440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010399 (or 7010395 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 8132016440 is about 90177.6936941725. The cubic root of 8132016440 is about 2010.9414036891.

Adding to 8132016440 its reverse (446102318), we get a palindrome (8578118758).

The spelling of 8132016440 in words is "eight billion, one hundred thirty-two million, sixteen thousand, four hundred forty".