10004444243200 has 432 divisors, whose sum is σ = 27796301547840. Its totient is φ = 3533381632000.

The previous prime is 10004444243197. The next prime is 10004444243207. The reversal of 10004444243200 is 234244440001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004444243207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 655205166 + ... + 655220434.

It is an arithmetic number, because the mean of its divisors is an integer number (64343290620).

Almost surely, 2^{10004444243200} is an apocalyptic number.

10004444243200 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 10004444243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898150773920).

10004444243200 is an abundant number, since it is smaller than the sum of its proper divisors (17791857304640).

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

10004444243200 is a wasteful number, since it uses less digits than its factorization.

10004444243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15574 (or 15555 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 10004444243200 its reverse (234244440001), we get a palindrome (10238688683201).

The spelling of 10004444243200 in words is "ten trillion, four billion, four hundred forty-four million, two hundred forty-three thousand, two hundred".