220420400200 has 576 divisors, whose sum is σ = 700865141760. Its totient is φ = 62726400000.

The previous prime is 220420400197. The next prime is 220420400227. The reversal of 220420400200 is 2004024022.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222421705 + ... + 222422695.

It is an arithmetic number, because the mean of its divisors is an integer number (1216779760).

Almost surely, 2^220420400200 is an apocalyptic number.

220420400200 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 220420400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350432570880).

220420400200 is an abundant number, since it is smaller than the sum of its proper divisors (480444741560).

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

220420400200 is a wasteful number, since it uses less digits than its factorization.

220420400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 220420400200 its reverse (2004024022), we get a palindrome (222424424222).

The spelling of 220420400200 in words is "two hundred twenty billion, four hundred twenty million, four hundred thousand, two hundred".