220304001004434 has 192 divisors, whose sum is σ = 510952511846400. Its totient is φ = 68588325884160.

The previous prime is 220304001004397. The next prime is 220304001004447. The reversal of 220304001004434 is 434400100403022.

It is a happy number.

220304001004434 is a `hidden beast` number, since 2 + 203 + 0 + 4 + 0 + 0 + 10 + 0 + 443 + 4 = 666.

220304001004434 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220304001004398 and 220304001004407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36240168207 + ... + 36240174285.

It is an arithmetic number, because the mean of its divisors is an integer number (2661210999200).

Almost surely, 2^{220304001004434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220304001004434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255476255923200).

220304001004434 is an abundant number, since it is smaller than the sum of its proper divisors (290648510841966).

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

220304001004434 is a wasteful number, since it uses less digits than its factorization.

220304001004434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10238 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 220304001004434 its reverse (434400100403022), we get a palindrome (654704101407456).

The spelling of 220304001004434 in words is "two hundred twenty trillion, three hundred four billion, one million, four thousand, four hundred thirty-four".