4003776216 has 640 divisors, whose sum is σ = 14301619200. Its totient is φ = 1030164480.

The previous prime is 4003776211. The next prime is 4003776223. The reversal of 4003776216 is 6126773004.

4003776216 is a `hidden beast` number, since 400 + 37 + 7 + 6 + 216 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003776211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85186705 + ... + 85186751.

It is an arithmetic number, because the mean of its divisors is an integer number (22346280).

Almost surely, 2^4003776216 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 4003776216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150809600).

4003776216 is an abundant number, since it is smaller than the sum of its proper divisors (10297842984).

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

4003776216 is a wasteful number, since it uses less digits than its factorization.

4003776216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4003776216 is about 63275.3997695787. The cubic root of 4003776216 is about 1587.9004256268.

The spelling of 4003776216 in words is "four billion, three million, seven hundred seventy-six thousand, two hundred sixteen".