434015313641 has 32 divisors (see below), whose sum is σ = 549616075008. Its totient is φ = 333557118720.

The previous prime is 434015313631. The next prime is 434015313647. The reversal of 434015313641 is 146313510434.

It is a happy number.

It is not a de Polignac number, because 434015313641 - 2¹⁸ = 434015051497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434015313647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401855 + ... + 1014651.

It is an arithmetic number, because the mean of its divisors is an integer number (17175502344).

Almost surely, 2^434015313641 is an apocalyptic number.

It is an amenable number.

434015313641 is a deficient number, since it is larger than the sum of its proper divisors (115600761367).

434015313641 is a wasteful number, since it uses less digits than its factorization.

434015313641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613041.

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 434015313641 in words is "four hundred thirty-four billion, fifteen million, three hundred thirteen thousand, six hundred forty-one".