4224000000 has 392 divisors, whose sum is σ = 15358865904. Its totient is φ = 1024000000.

The previous prime is 4223999999. The next prime is 4224000019. The reversal of 4224000000 is 4224.

It is a hoax number, since the sum of its digits (12) 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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4224000000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 383999995 + ... + 384000005.

Almost surely, 2^4224000000 is an apocalyptic number.

4224000000 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 4224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679432952).

4224000000 is an abundant number, since it is smaller than the sum of its proper divisors (11134865904).

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

4224000000 is an frugal number, since it uses more digits than its factorization.

4224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4224000000 is about 64992.3072370877. The cubic root of 4224000000 is about 1616.4960082489.

Adding to 4224000000 its reverse (4224), we get a palindrome (4224004224).

Multiplying 4224000000 by its reverse (4224), we get a square (17842176000000 = 4224000²).

4224000000 divided by its reverse (4224) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 42 and 24000000, that added together give a palindrome (24000042).

The spelling of 4224000000 in words is "four billion, two hundred twenty-four million", and thus it is an aban number.