4431003648 has 60 divisors (see below), whose sum is σ = 11815780200. Its totient is φ = 1476984832.

The previous prime is 4431003637. The next prime is 4431003697. The reversal of 4431003648 is 8463001344.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4078 + ... + 94226.

It is an arithmetic number, because the mean of its divisors is an integer number (196929670).

Almost surely, 2^4431003648 is an apocalyptic number.

4431003648 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 4431003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907890100).

4431003648 is an abundant number, since it is smaller than the sum of its proper divisors (7384776552).

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

4431003648 is an frugal number, since it uses more digits than its factorization.

4431003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90180 (or 90154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4431003648 is about 66565.7843640410. The cubic root of 4431003648 is about 1642.4823165994.

The spelling of 4431003648 in words is "four billion, four hundred thirty-one million, three thousand, six hundred forty-eight".