10204440444 has 72 divisors (see below), whose sum is σ = 28295183280. Its totient is φ = 3075148800.

The previous prime is 10204440443. The next prime is 10204440461. The reversal of 10204440444 is 44404440201.

10204440444 is a `hidden beast` number, since 10 + 204 + 4 + 4 + 0 + 444 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204440443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492 + ... + 142860.

Almost surely, 2^10204440444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204440444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147591640).

10204440444 is an abundant number, since it is smaller than the sum of its proper divisors (18090742836).

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

10204440444 is a wasteful number, since it uses less digits than its factorization.

10204440444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142571 (or 142566 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 10204440444 its reverse (44404440201), we get a palindrome (54608880645).

The spelling of 10204440444 in words is "ten billion, two hundred four million, four hundred forty thousand, four hundred forty-four".