10441322400 has 288 divisors, whose sum is σ = 36025819200. Its totient is φ = 2622054400.

The previous prime is 10441322387. The next prime is 10441322417. The reversal of 10441322400 is 422314401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2851771 + ... + 2855429.

It is an arithmetic number, because the mean of its divisors is an integer number (125089650).

Almost surely, 2^10441322400 is an apocalyptic number.

10441322400 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 10441322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012909600).

10441322400 is an abundant number, since it is smaller than the sum of its proper divisors (25584496800).

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

10441322400 is a wasteful number, since it uses less digits than its factorization.

10441322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10441322400 its reverse (422314401), we get a palindrome (10863636801).

The spelling of 10441322400 in words is "ten billion, four hundred forty-one million, three hundred twenty-two thousand, four hundred".