838408416256 has 44 divisors (see below), whose sum is σ = 1677342505000. Its totient is φ = 418867937280.

The previous prime is 838408416221. The next prime is 838408416257. The reversal of 838408416256 is 652614804838.

It is a junction number, because it is equal to n+sod(n) for n = 838408416197 and 838408416206.

It is not an unprimeable number, because it can be changed into a prime (838408416257) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 951211 + ... + 1606741.

Almost surely, 2^838408416256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838408416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838671252500).

838408416256 is an abundant number, since it is smaller than the sum of its proper divisors (838934088744).

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

838408416256 is a wasteful number, since it uses less digits than its factorization.

838408416256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656800 (or 656782 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 55.

The spelling of 838408416256 in words is "eight hundred thirty-eight billion, four hundred eight million, four hundred sixteen thousand, two hundred fifty-six".