10004413304440 has 64 divisors (see below), whose sum is σ = 22845110400000. Its totient is φ = 3942267262080.

The previous prime is 10004413304423. The next prime is 10004413304467. The reversal of 10004413304440 is 4440331440001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10004413304399 and 10004413304408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2176561 + ... + 4974559.

It is an arithmetic number, because the mean of its divisors is an integer number (356954850000).

Almost surely, 2^{10004413304440} is an apocalyptic number.

10004413304440 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 10004413304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11422555200000).

10004413304440 is an abundant number, since it is smaller than the sum of its proper divisors (12840697095560).

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

10004413304440 is a wasteful number, since it uses less digits than its factorization.

10004413304440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799340 (or 2799336 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10004413304440 its reverse (4440331440001), we get a palindrome (14444744744441).

The spelling of 10004413304440 in words is "ten trillion, four billion, four hundred thirteen million, three hundred four thousand, four hundred forty".