10404444211420 has 96 divisors (see below), whose sum is σ = 25448860620288. Its totient is φ = 3498961819392.

The previous prime is 10404444211397. The next prime is 10404444211451. The reversal of 10404444211420 is 2411244440401.

It is a super-2 number, since 2×10404444211420² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26838607 + ... + 27223513.

It is an arithmetic number, because the mean of its divisors is an integer number (265092298128).

Almost surely, 2^{10404444211420} is an apocalyptic number.

10404444211420 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 10404444211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12724430310144).

10404444211420 is an abundant number, since it is smaller than the sum of its proper divisors (15044416408868).

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

10404444211420 is a wasteful number, since it uses less digits than its factorization.

10404444211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388619 (or 388617 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 10404444211420 its reverse (2411244440401), we get a palindrome (12815688651821).

The spelling of 10404444211420 in words is "ten trillion, four hundred four billion, four hundred forty-four million, two hundred eleven thousand, four hundred twenty".