10412444442400 has 576 divisors, whose sum is σ = 34266152825856. Its totient is φ = 2983795200000.

The previous prime is 10412444442373. The next prime is 10412444442401. The reversal of 10412444442400 is 424444421401.

It is not an unprimeable number, because it can be changed into a prime (10412444442401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200974899 + ... + 201026701.

It is an arithmetic number, because the mean of its divisors is an integer number (59489848656).

Almost surely, 2^{10412444442400} is an apocalyptic number.

10412444442400 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 10412444442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133076412928).

10412444442400 is an abundant number, since it is smaller than the sum of its proper divisors (23853708383456).

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

10412444442400 is a wasteful number, since it uses less digits than its factorization.

10412444442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52105 (or 52092 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

Adding to 10412444442400 its reverse (424444421401), we get a palindrome (10836888863801).

The spelling of 10412444442400 in words is "ten trillion, four hundred twelve billion, four hundred forty-four million, four hundred forty-two thousand, four hundred".