4002314220 has 96 divisors (see below), whose sum is σ = 12755413440. Its totient is φ = 1041246720.

The previous prime is 4002314189. The next prime is 4002314221. The reversal of 4002314220 is 224132004.

It is a super-3 number, since 3×4002314220³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4002314193 and 4002314202.

It is not an unprimeable number, because it can be changed into a prime (4002314221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68247 + ... + 112526.

It is an arithmetic number, because the mean of its divisors is an integer number (132868890).

Almost surely, 2^4002314220 is an apocalyptic number.

It is an amenable number.

4002314220 is an abundant number, since it is smaller than the sum of its proper divisors (8753099220).

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

4002314220 is a wasteful number, since it uses less digits than its factorization.

4002314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180832 (or 180824 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4002314220 is about 63263.8460734091. The cubic root of 4002314220 is about 1587.7071258875.

Adding to 4002314220 its reverse (224132004), we get a palindrome (4226446224).

The spelling of 4002314220 in words is "four billion, two million, three hundred fourteen thousand, two hundred twenty".