4224000004000 has 96 divisors (see below), whose sum is σ = 11860992089856. Its totient is φ = 1448228563200.

The previous prime is 4224000003959. The next prime is 4224000004009. The reversal of 4224000004000 is 4000004224.

4224000004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4224000004009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75400572 + ... + 75456571.

It is an arithmetic number, because the mean of its divisors is an integer number (123552000936).

Almost surely, 2^{4224000004000} is an apocalyptic number.

4224000004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224000004000 is an abundant number, since it is smaller than the sum of its proper divisors (7636992085856).

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

4224000004000 is a wasteful number, since it uses less digits than its factorization.

4224000004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150857175 (or 150857157 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4224000004000 its reverse (4000004224), we get a palindrome (4228000008224).

The spelling of 4224000004000 in words is "four trillion, two hundred twenty-four billion, four thousand".