4224004400 has 120 divisors (see below), whose sum is σ = 12652356864. Its totient is φ = 1316563200.

The previous prime is 4224004327. The next prime is 4224004403. The reversal of 4224004400 is 44004224.

4224004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×4224004400⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4224004403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37772 + ... + 99371.

Almost surely, 2^4224004400 is an apocalyptic number.

4224004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224004400 is an abundant number, since it is smaller than the sum of its proper divisors (8428352464).

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

4224004400 is a wasteful number, since it uses less digits than its factorization.

4224004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137179 (or 137168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4224004400 is about 64992.3410872389. The cubic root of 4224004400 is about 1616.4965695320.

Adding to 4224004400 its reverse (44004224), we get a palindrome (4268008624).

The spelling of 4224004400 in words is "four billion, two hundred twenty-four million, four thousand, four hundred".