8046138240 has 768 divisors, whose sum is σ = 34751808000. Its totient is φ = 1737842688.

The previous prime is 8046138239. The next prime is 8046138271. The reversal of 8046138240 is 428316408.

8046138240 is a `hidden beast` number, since 80 + 461 + 3 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8046138195 and 8046138204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20683966 + ... + 20684354.

It is an arithmetic number, because the mean of its divisors is an integer number (45249750).

Almost surely, 2^8046138240 is an apocalyptic number.

8046138240 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 8046138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375904000).

8046138240 is an abundant number, since it is smaller than the sum of its proper divisors (26705669760).

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

8046138240 is a wasteful number, since it uses less digits than its factorization.

8046138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8046138240 is about 89700.2688959180. The cubic root of 8046138240 is about 2003.8374854766.

The spelling of 8046138240 in words is "eight billion, forty-six million, one hundred thirty-eight thousand, two hundred forty".