4413782016 has 432 divisors, whose sum is σ = 15463276920. Its totient is φ = 1254113280.

The previous prime is 4413781997. The next prime is 4413782053. The reversal of 4413782016 is 6102873144.

4413782016 is a `hidden beast` number, since 441 + 3 + 7 + 8 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24385446 + ... + 24385626.

Almost surely, 2^4413782016 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 4413782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7731638460).

4413782016 is an abundant number, since it is smaller than the sum of its proper divisors (11049494904).

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

4413782016 is an equidigital number, since it uses as much as digits as its factorization.

4413782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4413782016 is about 66436.3004388414. The cubic root of 4413782016 is about 1640.3516517394.

The spelling of 4413782016 in words is "four billion, four hundred thirteen million, seven hundred eighty-two thousand, sixteen".