4414181328 has 120 divisors (see below), whose sum is σ = 12659564736. Its totient is φ = 1435392000.

The previous prime is 4414181293. The next prime is 4414181333. The reversal of 4414181328 is 8231814144.

It is a happy number.

4414181328 is a `hidden beast` number, since 441 + 4 + 181 + 32 + 8 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4414181292 and 4414181301.

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, 989503 + ... + 993953.

Almost surely, 2^4414181328 is an apocalyptic number.

4414181328 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 4414181328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329782368).

4414181328 is an abundant number, since it is smaller than the sum of its proper divisors (8245383408).

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

4414181328 is a wasteful number, since it uses less digits than its factorization.

4414181328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4624 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 4414181328 is about 66439.3055954079. The cubic root of 4414181328 is about 1640.4011174315.

The spelling of 4414181328 in words is "four billion, four hundred fourteen million, one hundred eighty-one thousand, three hundred twenty-eight".