10223310114400 has 144 divisors (see below), whose sum is σ = 26559901057536. Its totient is φ = 3829237637120.

The previous prime is 10223310114343. The next prime is 10223310114427. The reversal of 10223310114400 is 441101332201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771297 + ... + 4587103.

It is an arithmetic number, because the mean of its divisors is an integer number (184443757344).

Almost surely, 2^{10223310114400} is an apocalyptic number.

10223310114400 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 10223310114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13279950528768).

10223310114400 is an abundant number, since it is smaller than the sum of its proper divisors (16336590943136).

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

10223310114400 is a wasteful number, since it uses less digits than its factorization.

10223310114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816041 (or 3816028 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10223310114400 its reverse (441101332201), we get a palindrome (10664411446601).

The spelling of 10223310114400 in words is "ten trillion, two hundred twenty-three billion, three hundred ten million, one hundred fourteen thousand, four hundred".