8414838020 has 24 divisors (see below), whose sum is σ = 17688715800. Its totient is φ = 3362591232.

The previous prime is 8414837993. The next prime is 8414838031. The reversal of 8414838020 is 208384148.

It can be written as a sum of positive squares in 4 ways, for example, as 64899136 + 8349938884 = 8056^2 + 91378^2 .

It is a super-3 number, since 3×8414838020³ (a number of 31 digits) contains 333 as substring.

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, 188315 + ... + 228674.

It is an arithmetic number, because the mean of its divisors is an integer number (737029825).

Almost surely, 2^8414838020 is an apocalyptic number.

It is an amenable number.

8414838020 is an abundant number, since it is smaller than the sum of its proper divisors (9273877780).

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

8414838020 is a wasteful number, since it uses less digits than its factorization.

8414838020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418007 (or 418005 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 8414838020 is about 91732.4262188677. The cubic root of 8414838020 is about 2033.9889388792.

The spelling of 8414838020 in words is "eight billion, four hundred fourteen million, eight hundred thirty-eight thousand, twenty".