4004216832 has 384 divisors, whose sum is σ = 13916488320. Its totient is φ = 994836480.

The previous prime is 4004216819. The next prime is 4004216851. The reversal of 4004216832 is 2386124004.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 4004216832.

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, 174096373 + ... + 174096395.

It is an arithmetic number, because the mean of its divisors is an integer number (36240855).

Almost surely, 2^4004216832 is an apocalyptic number.

4004216832 is a gapful number since it is divisible by the number (42) 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 4004216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958244160).

4004216832 is an abundant number, since it is smaller than the sum of its proper divisors (9912271488).

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

4004216832 is an equidigital number, since it uses as much as digits as its factorization.

4004216832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4004216832 is about 63278.8814060426. The cubic root of 4004216832 is about 1587.9586730273.

It can be divided in two parts, 400421 and 6832, that added together give a triangular number (407253 = T₉₀₂).

The spelling of 4004216832 in words is "four billion, four million, two hundred sixteen thousand, eight hundred thirty-two".