4435224000 has 224 divisors, whose sum is σ = 14740444992. Its totient is φ = 1175040000.

The previous prime is 4435223999. The next prime is 4435224029. The reversal of 4435224000 is 4225344.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4343490 + ... + 4344510.

It is an arithmetic number, because the mean of its divisors is an integer number (65805558).

Almost surely, 2^4435224000 is an apocalyptic number.

4435224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4435224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370222496).

4435224000 is an abundant number, since it is smaller than the sum of its proper divisors (10305220992).

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

4435224000 is a wasteful number, since it uses less digits than its factorization.

4435224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4435224000 is about 66597.4774297045. The cubic root of 4435224000 is about 1643.0036171500.

Adding to 4435224000 its reverse (4225344), we get a palindrome (4439449344).

The spelling of 4435224000 in words is "four billion, four hundred thirty-five million, two hundred twenty-four thousand".