4130350224 has 640 divisors, whose sum is σ = 15359016960. Its totient is φ = 922060800.

The previous prime is 4130350223. The next prime is 4130350229. The reversal of 4130350224 is 4220530314.

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

It is a junction number, because it is equal to n+sod(n) for n = 4130350194 and 4130350203.

It is not an unprimeable number, because it can be changed into a prime (4130350223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70005907 + ... + 70005965.

It is an arithmetic number, because the mean of its divisors is an integer number (23998464).

Almost surely, 2^4130350224 is an apocalyptic number.

4130350224 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 4130350224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679508480).

4130350224 is an abundant number, since it is smaller than the sum of its proper divisors (11228666736).

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

4130350224 is a wasteful number, since it uses less digits than its factorization.

4130350224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4130350224 is about 64267.8008336990. The cubic root of 4130350224 is about 1604.4602402736.

Adding to 4130350224 its reverse (4220530314), we get a palindrome (8350880538).

The spelling of 4130350224 in words is "four billion, one hundred thirty million, three hundred fifty thousand, two hundred twenty-four".