4538229120 has 448 divisors, whose sum is σ = 16615873440. Its totient is φ = 1184440320.

The previous prime is 4538229089. The next prime is 4538229133. The reversal of 4538229120 is 219228354.

It is a happy number.

4538229120 is a `hidden beast` number, since 453 + 82 + 2 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33125692 + ... + 33125828.

Almost surely, 2^4538229120 is an apocalyptic number.

4538229120 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 4538229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307936720).

4538229120 is an abundant number, since it is smaller than the sum of its proper divisors (12077644320).

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

4538229120 is an equidigital number, since it uses as much as digits as its factorization.

4538229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4538229120 is about 67366.3797453893. The cubic root of 4538229120 is about 1655.6256242551.

The spelling of 4538229120 in words is "four billion, five hundred thirty-eight million, two hundred twenty-nine thousand, one hundred twenty".