4241438208 has 320 divisors, whose sum is σ = 14636920320. Its totient is φ = 1187536896.

The previous prime is 4241438207. The next prime is 4241438209. The reversal of 4241438208 is 8028341424.

4241438208 is a `hidden beast` number, since 4 + 2 + 414 + 38 + 208 = 666.

4241438208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4241438207) and next prime (4241438209).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241438207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128291 + ... + 5129117.

It is an arithmetic number, because the mean of its divisors is an integer number (45740376).

Almost surely, 2^4241438208 is an apocalyptic number.

4241438208 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 4241438208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318460160).

4241438208 is an abundant number, since it is smaller than the sum of its proper divisors (10395482112).

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

4241438208 is an equidigital number, since it uses as much as digits as its factorization.

4241438208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4241438208 is about 65126.3249999568. The cubic root of 4241438208 is about 1618.7174485228.

It can be divided in two parts, 424 and 1438208, that multiplied together give a cube (609800192 = 848³).

The spelling of 4241438208 in words is "four billion, two hundred forty-one million, four hundred thirty-eight thousand, two hundred eight".