4124444100 has 144 divisors (see below), whose sum is σ = 13895860608. Its totient is φ = 924917760.

The previous prime is 4124444021. The next prime is 4124444113. The reversal of 4124444100 is 14444214.

It is a happy number.

4124444100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4124444100² = 34022078268049620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92772 + ... + 129828.

It is an arithmetic number, because the mean of its divisors is an integer number (96499032).

Almost surely, 2^4124444100 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 4124444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947930304).

4124444100 is an abundant number, since it is smaller than the sum of its proper divisors (9771416508).

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

4124444100 is a wasteful number, since it uses less digits than its factorization.

4124444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37134 (or 37127 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4124444100 is about 64221.8350718819. The cubic root of 4124444100 is about 1603.6951185964.

Adding to 4124444100 its reverse (14444214), we get a palindrome (4138888314).

The spelling of 4124444100 in words is "four billion, one hundred twenty-four million, four hundred forty-four thousand, one hundred".