4002000224 has 24 divisors (see below), whose sum is σ = 7910344008. Its totient is φ = 1993024000.

The previous prime is 4002000217. The next prime is 4002000241. The reversal of 4002000224 is 4220002004.

It is a happy number.

4002000224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4002000199 and 4002000208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241097 + ... + 257160.

It is an arithmetic number, because the mean of its divisors is an integer number (329597667).

Almost surely, 2^4002000224 is an apocalyptic number.

It is an amenable number.

4002000224 is a deficient number, since it is larger than the sum of its proper divisors (3908343784).

4002000224 is a wasteful number, since it uses less digits than its factorization.

4002000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498518 (or 498510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4002000224 is about 63261.3643861718. The cubic root of 4002000224 is about 1587.6656043496.

Adding to 4002000224 its reverse (4220002004), we get a palindrome (8222002228).

The spelling of 4002000224 in words is "four billion, two million, two hundred twenty-four", and thus it is an aban number.