4213144320 has 288 divisors, whose sum is σ = 16777152000. Its totient is φ = 875397120.

The previous prime is 4213144291. The next prime is 4213144321. The reversal of 4213144320 is 234413124.

It is a super-2 number, since 2×4213144320² = 35501170122296524800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4213144321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288556 + ... + 302804.

It is an arithmetic number, because the mean of its divisors is an integer number (58254000).

Almost surely, 2^4213144320 is an apocalyptic number.

4213144320 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 4213144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388576000).

4213144320 is an abundant number, since it is smaller than the sum of its proper divisors (12564007680).

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

4213144320 is a wasteful number, since it uses less digits than its factorization.

4213144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14291 (or 14277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4213144320 is about 64908.7383947647. The cubic root of 4213144320 is about 1615.1100219946.

Adding to 4213144320 its reverse (234413124), we get a palindrome (4447557444).

The spelling of 4213144320 in words is "four billion, two hundred thirteen million, one hundred forty-four thousand, three hundred twenty".