20204224400420 has 96 divisors (see below), whose sum is σ = 45801935676000. Its totient is φ = 7457953112064.

The previous prime is 20204224400411. The next prime is 20204224400429. The reversal of 20204224400420 is 2400442240202.

It is an interprime number because it is at equal distance from previous prime (20204224400411) and next prime (20204224400429).

It can be written as a sum of positive squares in 16 ways, for example, as 1190909498944 + 19013314901476 = 1091288^2 + 4360426^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20204224400420.

It is not an unprimeable number, because it can be changed into a prime (20204224400429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27551066 + ... + 28274894.

It is an arithmetic number, because the mean of its divisors is an integer number (477103496625).

Almost surely, 2^{20204224400420} is an apocalyptic number.

20204224400420 is a gapful number since it is divisible by the number (20) 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 20204224400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900967838000).

20204224400420 is an abundant number, since it is smaller than the sum of its proper divisors (25597711275580).

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

20204224400420 is a wasteful number, since it uses less digits than its factorization.

20204224400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725457 (or 725455 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 20204224400420 its reverse (2400442240202), we get a palindrome (22604666640622).

The spelling of 20204224400420 in words is "twenty trillion, two hundred four billion, two hundred twenty-four million, four hundred thousand, four hundred twenty".