4391138304 has 264 divisors, whose sum is σ = 15033299008. Its totient is φ = 1254113280.

The previous prime is 4391138293. The next prime is 4391138309. The reversal of 4391138304 is 4038311934.

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 (4391138309) 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 23 ways as a sum of consecutive naturals, for example, 1740564 + ... + 1743084.

Almost surely, 2^4391138304 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 4391138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516649504).

4391138304 is an abundant number, since it is smaller than the sum of its proper divisors (10642160704).

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

4391138304 is an equidigital number, since it uses as much as digits as its factorization.

4391138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4391138304 is about 66265.6645933624. The cubic root of 4391138304 is about 1637.5417145638.

It can be divided in two parts, 43911 and 38304, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 4391138304 in words is "four billion, three hundred ninety-one million, one hundred thirty-eight thousand, three hundred four".