8084448040 has 32 divisors (see below), whose sum is σ = 18370116360. Its totient is φ = 3201760000.

The previous prime is 8084448013. The next prime is 8084448077. The reversal of 8084448040 is 408444808.

It can be written as a sum of positive squares in 4 ways, for example, as 6719736676 + 1364711364 = 81974^2 + 36942^2 .

It is a super-2 number, since 2×8084448040² (a number of 21 digits) contains 22 as substring.

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 = 8084447984 and 8084448002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 996511 + ... + 1004590.

Almost surely, 2^8084448040 is an apocalyptic number.

It is an amenable number.

8084448040 is an abundant number, since it is smaller than the sum of its proper divisors (10285668320).

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

8084448040 is a wasteful number, since it uses less digits than its factorization.

8084448040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001213 (or 2001209 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 8084448040 is about 89913.5587105749. The cubic root of 8084448040 is about 2007.0127188147.

The spelling of 8084448040 in words is "eight billion, eighty-four million, four hundred forty-eight thousand, forty".