10024444400 has 120 divisors (see below), whose sum is σ = 25550529840. Its totient is φ = 3766497280.

The previous prime is 10024444393. The next prime is 10024444421. The reversal of 10024444400 is 444442001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4480082 + ... + 4482318.

It is an arithmetic number, because the mean of its divisors is an integer number (212921082).

Almost surely, 2^10024444400 is an apocalyptic number.

10024444400 is a gapful number since it is divisible by the number (10) 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 10024444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12775264920).

10024444400 is an abundant number, since it is smaller than the sum of its proper divisors (15526085440).

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

10024444400 is a wasteful number, since it uses less digits than its factorization.

10024444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2920 counting only the distinct ones).

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

Adding to 10024444400 its reverse (444442001), we get a palindrome (10468886401).

The spelling of 10024444400 in words is "ten billion, twenty-four million, four hundred forty-four thousand, four hundred".