4124444000 has 96 divisors (see below), whose sum is σ = 10667311200. Its totient is φ = 1562918400.

The previous prime is 4124443919. The next prime is 4124444017. The reversal of 4124444000 is 4444214.

It is a super-2 number, since 2×4124444000² = 34022076618272000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48866 + ... + 103134.

It is an arithmetic number, because the mean of its divisors is an integer number (111117825).

Almost surely, 2^4124444000 is an apocalyptic number.

4124444000 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 4124444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333655600).

4124444000 is an abundant number, since it is smaller than the sum of its proper divisors (6542867200).

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

4124444000 is a wasteful number, since it uses less digits than its factorization.

4124444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54313 (or 54295 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4124444000 is about 64221.8342933305. The cubic root of 4124444000 is about 1603.6951056355.

Adding to 4124444000 its reverse (4444214), we get a palindrome (4128888214).

The spelling of 4124444000 in words is "four billion, one hundred twenty-four million, four hundred forty-four thousand".