8238041280 has 896 divisors, whose sum is σ = 35815219200. Its totient is φ = 1740828672.

The previous prime is 8238041263. The next prime is 8238041311. The reversal of 8238041280 is 821408328.

It is a happy number.

8238041280 is a `hidden beast` number, since 8 + 238 + 0 + 412 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76990987 + ... + 76991093.

Almost surely, 2^8238041280 is an apocalyptic number.

8238041280 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 8238041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907609600).

8238041280 is an abundant number, since it is smaller than the sum of its proper divisors (27577177920).

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

8238041280 is a wasteful number, since it uses less digits than its factorization.

8238041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8238041280 is about 90763.6561625853. The cubic root of 8238041280 is about 2019.6432137886.

The spelling of 8238041280 in words is "eight billion, two hundred thirty-eight million, forty-one thousand, two hundred eighty".