4101224000 has 112 divisors (see below), whose sum is σ = 10185507696. Its totient is φ = 1635840000.

The previous prime is 4101223979. The next prime is 4101224003. The reversal of 4101224000 is 4221014.

4101224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1660073536 + 2441150464 = 40744^2 + 49408^2 .

It is not an unprimeable number, because it can be changed into a prime (4101224003) 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, 4807574 + ... + 4808426.

It is an arithmetic number, because the mean of its divisors is an integer number (90942033).

Almost surely, 2^4101224000 is an apocalyptic number.

4101224000 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 4101224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092753848).

4101224000 is an abundant number, since it is smaller than the sum of its proper divisors (6084283696).

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

4101224000 is an equidigital number, since it uses as much as digits as its factorization.

4101224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4101224000 is about 64040.7994953217. The cubic root of 4101224000 is about 1600.6799193609.

Adding to 4101224000 its reverse (4221014), we get a palindrome (4105445014).

The spelling of 4101224000 in words is "four billion, one hundred one million, two hundred twenty-four thousand".