4241628320 has 96 divisors (see below), whose sum is σ = 10447750656. Its totient is φ = 1625472000.

The previous prime is 4241628257. The next prime is 4241628323. The reversal of 4241628320 is 238261424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4241628323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496727 + ... + 505193.

It is an arithmetic number, because the mean of its divisors is an integer number (108830736).

Almost surely, 2^4241628320 is an apocalyptic number.

4241628320 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 4241628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223875328).

4241628320 is an abundant number, since it is smaller than the sum of its proper divisors (6206122336).

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

4241628320 is a wasteful number, since it uses less digits than its factorization.

4241628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4241628320 is about 65127.7845469965. The cubic root of 4241628320 is about 1618.7416331664.

Adding to 4241628320 its reverse (238261424), we get a palindrome (4479889744).

The spelling of 4241628320 in words is "four billion, two hundred forty-one million, six hundred twenty-eight thousand, three hundred twenty".