4124440100 has 144 divisors (see below), whose sum is σ = 10105603200. Its totient is φ = 1448064000.

The previous prime is 4124440087. The next prime is 4124440139. The reversal of 4124440100 is 10444214.

It is a happy number.

It is a super-2 number, since 2×4124440100² = 34022012276976020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4915481 + ... + 4916319.

It is an arithmetic number, because the mean of its divisors is an integer number (70177800).

Almost surely, 2^4124440100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052801600).

4124440100 is an abundant number, since it is smaller than the sum of its proper divisors (5981163100).

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

4124440100 is a wasteful number, since it uses less digits than its factorization.

4124440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4124440100 is about 64221.8039298181. The cubic root of 4124440100 is about 1603.6946001603.

Adding to 4124440100 its reverse (10444214), we get a palindrome (4134884314).

The spelling of 4124440100 in words is "four billion, one hundred twenty-four million, four hundred forty thousand, one hundred".