10244114400 has 288 divisors, whose sum is σ = 36058629600. Its totient is φ = 2511175680.

The previous prime is 10244114399. The next prime is 10244114429. The reversal of 10244114400 is 441144201.

It is a congruent number.

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, 9765076 + ... + 9766124.

It is an arithmetic number, because the mean of its divisors is an integer number (125203575).

Almost surely, 2^10244114400 is an apocalyptic number.

10244114400 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 10244114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18029314800).

10244114400 is an abundant number, since it is smaller than the sum of its proper divisors (25814515200).

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

10244114400 is a wasteful number, since it uses less digits than its factorization.

10244114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10244114400 its reverse (441144201), we get a palindrome (10685258601).

The spelling of 10244114400 in words is "ten billion, two hundred forty-four million, one hundred fourteen thousand, four hundred".