4145332224 has 360 divisors, whose sum is σ = 13178625264. Its totient is φ = 1153433600.

The previous prime is 4145332157. The next prime is 4145332237. The reversal of 4145332224 is 4222335414.

It is a junction number, because it is equal to n+sod(n) for n = 4145332191 and 4145332200.

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 23 ways as a sum of consecutive naturals, for example, 101105644 + ... + 101105684.

Almost surely, 2^4145332224 is an apocalyptic number.

4145332224 is a gapful number since it is divisible by the number (44) 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 4145332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589312632).

4145332224 is an abundant number, since it is smaller than the sum of its proper divisors (9033293040).

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

4145332224 is a wasteful number, since it uses less digits than its factorization.

4145332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 74 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 4145332224 is about 64384.2544726581. The cubic root of 4145332224 is about 1606.3978497667.

Adding to 4145332224 its reverse (4222335414), we get a palindrome (8367667638).

The spelling of 4145332224 in words is "four billion, one hundred forty-five million, three hundred thirty-two thousand, two hundred twenty-four".