8148029440 has 104 divisors (see below), whose sum is σ = 19664690688. Its totient is φ = 3240591360.

The previous prime is 8148029437. The next prime is 8148029441. The reversal of 8148029440 is 449208418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8148029393 and 8148029402.

It is not an unprimeable number, because it can be changed into a prime (8148029441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3910639 + ... + 3912721.

Almost surely, 2^8148029440 is an apocalyptic number.

8148029440 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 8148029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832345344).

8148029440 is an abundant number, since it is smaller than the sum of its proper divisors (11516661248).

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

8148029440 is a wasteful number, since it uses less digits than its factorization.

8148029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 8148029440 is about 90266.4358441165. The cubic root of 8148029440 is about 2012.2604734796.

The spelling of 8148029440 in words is "eight billion, one hundred forty-eight million, twenty-nine thousand, four hundred forty".