220400384020 has 24 divisors (see below), whose sum is σ = 467423392968. Its totient is φ = 87287280000.

The previous prime is 220400384003. The next prime is 220400384027. The reversal of 220400384020 is 20483004022.

It can be written as a sum of positive squares in 4 ways, for example, as 110778471556 + 109621912464 = 332834^2 + 331092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220400384027) 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 7 ways as a sum of consecutive naturals, for example, 54552531 + ... + 54556570.

It is an arithmetic number, because the mean of its divisors is an integer number (19475974707).

Almost surely, 2^220400384020 is an apocalyptic number.

220400384020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220400384020 is an abundant number, since it is smaller than the sum of its proper divisors (247023008948).

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

220400384020 is a wasteful number, since it uses less digits than its factorization.

220400384020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109109211 (or 109109209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 220400384020 its reverse (20483004022), we get a palindrome (240883388042).

The spelling of 220400384020 in words is "two hundred twenty billion, four hundred million, three hundred eighty-four thousand, twenty".