434034041441 has 32 divisors (see below), whose sum is σ = 601557712896. Its totient is φ = 302121576000.

The previous prime is 434034041437. The next prime is 434034041449. The reversal of 434034041441 is 144140430434.

It is a cyclic number.

It is not a de Polignac number, because 434034041441 - 2² = 434034041437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434034041398 and 434034041407.

It is not an unprimeable number, because it can be changed into a prime (434034041449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6962525 + ... + 7024586.

It is an arithmetic number, because the mean of its divisors is an integer number (18798678528).

Almost surely, 2^434034041441 is an apocalyptic number.

It is an amenable number.

434034041441 is a deficient number, since it is larger than the sum of its proper divisors (167523671455).

434034041441 is a wasteful number, since it uses less digits than its factorization.

434034041441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13987173.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 434034041441 its reverse (144140430434), we get a palindrome (578174471875).

The spelling of 434034041441 in words is "four hundred thirty-four billion, thirty-four million, forty-one thousand, four hundred forty-one".