4224130400 has 144 divisors (see below), whose sum is σ = 11947922784. Its totient is φ = 1428295680.

The previous prime is 4224130399. The next prime is 4224130423. The reversal of 4224130400 is 40314224.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403634 + ... + 413966.

It is an arithmetic number, because the mean of its divisors is an integer number (82971686).

Almost surely, 2^4224130400 is an apocalyptic number.

4224130400 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 4224130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973961392).

4224130400 is an abundant number, since it is smaller than the sum of its proper divisors (7723792384).

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

4224130400 is a wasteful number, since it uses less digits than its factorization.

4224130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10433 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4224130400 is about 64993.3104249968. The cubic root of 4224130400 is about 1616.5126424748.

Adding to 4224130400 its reverse (40314224), we get a palindrome (4264444624).

The spelling of 4224130400 in words is "four billion, two hundred twenty-four million, one hundred thirty thousand, four hundred".