4002220424224 has 48 divisors (see below), whose sum is σ = 8598377473056. Its totient is φ = 1818619776000.

The previous prime is 4002220424183. The next prime is 4002220424281. The reversal of 4002220424224 is 4224240222004.

It is a junction number, because it is equal to n+sod(n) for n = 4002220424192 and 4002220424201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661977 + ... + 2905624.

It is an arithmetic number, because the mean of its divisors is an integer number (179132864022).

Almost surely, 2^{4002220424224} is an apocalyptic number.

4002220424224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4002220424224 is an abundant number, since it is smaller than the sum of its proper divisors (4596157048832).

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

4002220424224 is a wasteful number, since it uses less digits than its factorization.

4002220424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570809 (or 3570801 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4002220424224 its reverse (4224240222004), we get a palindrome (8226460646228).

The spelling of 4002220424224 in words is "four trillion, two billion, two hundred twenty million, four hundred twenty-four thousand, two hundred twenty-four".