434144420200 has 48 divisors (see below), whose sum is σ = 1011853903500. Its totient is φ = 173233144320.

The previous prime is 434144420191. The next prime is 434144420231. The reversal of 434144420200 is 2024441434.

It can be written as a sum of positive squares in 6 ways, for example, as 345200901444 + 88943518756 = 587538^2 + 298234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2571895 + ... + 2735494.

Almost surely, 2^434144420200 is an apocalyptic number.

434144420200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434144420200 is an abundant number, since it is smaller than the sum of its proper divisors (577709483300).

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

434144420200 is a wasteful number, since it uses less digits than its factorization.

434144420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307814 (or 5307805 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 434144420200 its reverse (2024441434), we get a palindrome (436168861634).

The spelling of 434144420200 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred twenty thousand, two hundred".