221420434020 has 96 divisors (see below), whose sum is σ = 643546149120. Its totient is φ = 56814696960.

The previous prime is 221420434019. The next prime is 221420434043. The reversal of 221420434020 is 20434024122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292665 + ... + 726975.

It is an arithmetic number, because the mean of its divisors is an integer number (6703605720).

Almost surely, 2^221420434020 is an apocalyptic number.

221420434020 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 221420434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321773074560).

221420434020 is an abundant number, since it is smaller than the sum of its proper divisors (422125715100).

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

221420434020 is a wasteful number, since it uses less digits than its factorization.

221420434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434645 (or 434643 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 221420434020 its reverse (20434024122), we get a palindrome (241854458142).

The spelling of 221420434020 in words is "two hundred twenty-one billion, four hundred twenty million, four hundred thirty-four thousand, twenty".