434440144000 has 64 divisors (see below), whose sum is σ = 1080126847800. Its totient is φ = 173776051200.

The previous prime is 434440143901. The next prime is 434440144001. The reversal of 434440144000 is 441044434.

It can be written as a sum of positive squares in 4 ways, for example, as 50129418816 + 384310725184 = 223896^2 + 619928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 434440144000.

It is not an unprimeable number, because it can be changed into a prime (434440144001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13560255 + ... + 13592254.

Almost surely, 2^434440144000 is an apocalyptic number.

434440144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434440144000 is an abundant number, since it is smaller than the sum of its proper divisors (645686703800).

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

434440144000 is an equidigital number, since it uses as much as digits as its factorization.

434440144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27152538 (or 27152516 counting only the distinct ones).

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

Adding to 434440144000 its reverse (441044434), we get a palindrome (434881188434).

The spelling of 434440144000 in words is "four hundred thirty-four billion, four hundred forty million, one hundred forty-four thousand".