434208641307 has 24 divisors (see below), whose sum is σ = 674036984592. Its totient is φ = 247909032000.

The previous prime is 434208641257. The next prime is 434208641309. The reversal of 434208641307 is 703146802434.

It is not a de Polignac number, because 434208641307 - 2²⁶ = 434141532443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434208641309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1076944 + ... + 1424157.

It is an arithmetic number, because the mean of its divisors is an integer number (28084874358).

Almost surely, 2^434208641307 is an apocalyptic number.

434208641307 is a deficient number, since it is larger than the sum of its proper divisors (239828343285).

434208641307 is a wasteful number, since it uses less digits than its factorization.

434208641307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502299 (or 2502292 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 434208641307 in words is "four hundred thirty-four billion, two hundred eight million, six hundred forty-one thousand, three hundred seven".