4114438848 has 336 divisors, whose sum is σ = 13345911840. Its totient is φ = 1242169344.

The previous prime is 4114438843. The next prime is 4114438849. The reversal of 4114438848 is 8488344114.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4114438841) 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 47 ways as a sum of consecutive naturals, for example, 21318240 + ... + 21318432.

Almost surely, 2^4114438848 is an apocalyptic number.

4114438848 is a gapful number since it is divisible by the number (48) 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 4114438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672955920).

4114438848 is an abundant number, since it is smaller than the sum of its proper divisors (9231472992).

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

4114438848 is a wasteful number, since it uses less digits than its factorization.

4114438848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 4114438848 is about 64143.8917434856. The cubic root of 4114438848 is about 1602.3972979743.

The spelling of 4114438848 in words is "four billion, one hundred fourteen million, four hundred thirty-eight thousand, eight hundred forty-eight".