434806540961 has 8 divisors (see below), whose sum is σ = 471023929320. Its totient is φ = 401359881936.

The previous prime is 434806540937. The next prime is 434806541003. The reversal of 434806540961 is 169045608434.

It can be written as a sum of positive squares in 4 ways, for example, as 131391750400 + 303414790561 = 362480^2 + 550831^2 .

It is not a de Polignac number, because 434806540961 - 2¹⁴ = 434806524577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434806540061) 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, 98952410 + ... + 98956803.

It is an arithmetic number, because the mean of its divisors is an integer number (58877991165).

Almost surely, 2^434806540961 is an apocalyptic number.

It is an amenable number.

434806540961 is a deficient number, since it is larger than the sum of its proper divisors (36217388359).

434806540961 is an equidigital number, since it uses as much as digits as its factorization.

434806540961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197909252 (or 197909226 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 434806540961 in words is "four hundred thirty-four billion, eight hundred six million, five hundred forty thousand, nine hundred sixty-one".