10410442444000 has 192 divisors, whose sum is σ = 26445611372544. Its totient is φ = 4023432000000.

The previous prime is 10410442443997. The next prime is 10410442444009. The reversal of 10410442444000 is 44424401401.

It is a self number, because there is not a number n which added to its sum of digits gives 10410442444000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10410442444009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78177475 + ... + 78310525.

It is an arithmetic number, because the mean of its divisors is an integer number (137737559232).

Almost surely, 2^{10410442444000} is an apocalyptic number.

10410442444000 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 10410442444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222805686272).

10410442444000 is an abundant number, since it is smaller than the sum of its proper divisors (16035168928544).

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

10410442444000 is a wasteful number, since it uses less digits than its factorization.

10410442444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133738 (or 133720 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10410442444000 its reverse (44424401401), we get a palindrome (10454866845401).

The spelling of 10410442444000 in words is "ten trillion, four hundred ten billion, four hundred forty-two million, four hundred forty-four thousand".