205426620003444 has 192 divisors, whose sum is σ = 585927133102080. Its totient is φ = 54680941486080.

The previous prime is 205426620003443. The next prime is 205426620003503. The reversal of 205426620003444 is 444300026624502.

It is a super-2 number, since 2×205426620003444² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 205426620003396 and 205426620003405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205426620003443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78325164 + ... + 80905404.

It is an arithmetic number, because the mean of its divisors is an integer number (3051703818240).

Almost surely, 2^{205426620003444} 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 205426620003444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292963566551040).

205426620003444 is an abundant number, since it is smaller than the sum of its proper divisors (380500513098636).

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

205426620003444 is a wasteful number, since it uses less digits than its factorization.

205426620003444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580838 (or 2580836 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 205426620003444 its reverse (444300026624502), we get a palindrome (649726646627946).

The spelling of 205426620003444 in words is "two hundred five trillion, four hundred twenty-six billion, six hundred twenty million, three thousand, four hundred forty-four".