4010022016 has 384 divisors, whose sum is σ = 11603813760. Its totient is φ = 1352171520.

The previous prime is 4010022013. The next prime is 4010022047. The reversal of 4010022016 is 6102200104.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010022011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15247101 + ... + 15247363.

It is an arithmetic number, because the mean of its divisors is an integer number (30218265).

Almost surely, 2^4010022016 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 4010022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801906880).

4010022016 is an abundant number, since it is smaller than the sum of its proper divisors (7593791744).

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

4010022016 is a wasteful number, since it uses less digits than its factorization.

4010022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4010022016 is about 63324.7346303165. The cubic root of 4010022016 is about 1588.7256928475.

The spelling of 4010022016 in words is "four billion, ten million, twenty-two thousand, sixteen".