434144404010 has 64 divisors (see below), whose sum is σ = 818553859200. Its totient is φ = 165567021312.

The previous prime is 434144404009. The next prime is 434144404033. The reversal of 434144404010 is 10404441434.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 73097621 + ... + 73103559.

It is an arithmetic number, because the mean of its divisors is an integer number (12789904050).

Almost surely, 2^434144404010 is an apocalyptic number.

434144404010 is a deficient number, since it is larger than the sum of its proper divisors (384409455190).

434144404010 is a wasteful number, since it uses less digits than its factorization.

434144404010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9095.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 434144404010 its reverse (10404441434), we get a palindrome (444548845444).

The spelling of 434144404010 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred four thousand, ten".