10413323221200 has 240 divisors, whose sum is σ = 34176249038400. Its totient is φ = 2708736307200.

The previous prime is 10413323221163. The next prime is 10413323221219. The reversal of 10413323221200 is 212232331401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 431914746 + ... + 431938854.

It is an arithmetic number, because the mean of its divisors is an integer number (142401037660).

Almost surely, 2^{10413323221200} is an apocalyptic number.

10413323221200 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 10413323221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17088124519200).

10413323221200 is an abundant number, since it is smaller than the sum of its proper divisors (23762925817200).

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

10413323221200 is a wasteful number, since it uses less digits than its factorization.

10413323221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32950 (or 32939 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10413323221200 its reverse (212232331401), we get a palindrome (10625555552601).

The spelling of 10413323221200 in words is "ten trillion, four hundred thirteen billion, three hundred twenty-three million, two hundred twenty-one thousand, two hundred".