4224044400 has 120 divisors (see below), whose sum is σ = 14327033904. Its totient is φ = 1060147200.

The previous prime is 4224044399. The next prime is 4224044411. The reversal of 4224044400 is 44404224.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83131 + ... + 123930.

Almost surely, 2^4224044400 is an apocalyptic number.

4224044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224044400 is an abundant number, since it is smaller than the sum of its proper divisors (10102989504).

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

4224044400 is a wasteful number, since it uses less digits than its factorization.

4224044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207099 (or 207088 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4224044400 is about 64992.6488150775. The cubic root of 4224044400 is about 1616.5016720882.

Adding to 4224044400 its reverse (44404224), we get a palindrome (4268448624).

The spelling of 4224044400 in words is "four billion, two hundred twenty-four million, forty-four thousand, four hundred".