4084416256 has 36 divisors (see below), whose sum is σ = 8171928352. Its totient is φ = 2037436416.

The previous prime is 4084416241. The next prime is 4084416257. The reversal of 4084416256 is 6526144804.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084416257) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 92425 + ... + 129271.

Almost surely, 2^4084416256 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 4084416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085964176).

4084416256 is an abundant number, since it is smaller than the sum of its proper divisors (4087512096).

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

4084416256 is an equidigital number, since it uses as much as digits as its factorization.

4084416256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37296 (or 37282 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4084416256 is about 63909.4379258651. The cubic root of 4084416256 is about 1598.4902759063.

The spelling of 4084416256 in words is "four billion, eighty-four million, four hundred sixteen thousand, two hundred fifty-six".