4381963344 has 120 divisors (see below), whose sum is σ = 13412085024. Its totient is φ = 1324512000.

The previous prime is 4381963321. The next prime is 4381963373. The reversal of 4381963344 is 4433691834.

4381963344 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 9 + 633 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4381963344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663579 + ... + 670149.

Almost surely, 2^4381963344 is an apocalyptic number.

4381963344 is a gapful number since it is divisible by the number (44) 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 4381963344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706042512).

4381963344 is an abundant number, since it is smaller than the sum of its proper divisors (9030121680).

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

4381963344 is a wasteful number, since it uses less digits than its factorization.

4381963344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 7008 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4381963344 is about 66196.3997812570. The cubic root of 4381963344 is about 1636.4004117122.

The spelling of 4381963344 in words is "four billion, three hundred eighty-one million, nine hundred sixty-three thousand, three hundred forty-four".