4044412421010 has 128 divisors (see below), whose sum is σ = 11632354272000. Its totient is φ = 994036409856.

The previous prime is 4044412420981. The next prime is 4044412421011. The reversal of 4044412421010 is 101242144404.

It is a happy number.

4044412421010 is a `hidden beast` number, since 4 + 0 + 4 + 441 + 2 + 4 + 210 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4044412421011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1438846 + ... + 3187334.

It is an arithmetic number, because the mean of its divisors is an integer number (90877767750).

Almost surely, 2^{4044412421010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044412421010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816177136000).

4044412421010 is an abundant number, since it is smaller than the sum of its proper divisors (7587941850990).

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

4044412421010 is a wasteful number, since it uses less digits than its factorization.

4044412421010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749177 (or 1749171 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4044412421010 its reverse (101242144404), we get a palindrome (4145654565414).

The spelling of 4044412421010 in words is "four trillion, forty-four billion, four hundred twelve million, four hundred twenty-one thousand, ten".