434825392704 has 56 divisors (see below), whose sum is σ = 1152736043520. Its totient is φ = 144657007104.

The previous prime is 434825392697. The next prime is 434825392721. The reversal of 434825392704 is 407293528434.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2126944 + ... + 2322399.

Almost surely, 2^434825392704 is an apocalyptic number.

It is an amenable number.

434825392704 is an abundant number, since it is smaller than the sum of its proper divisors (717910650816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434825392704 is a wasteful number, since it uses less digits than its factorization.

434825392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449867 (or 4449857 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 434825392704 in words is "four hundred thirty-four billion, eight hundred twenty-five million, three hundred ninety-two thousand, seven hundred four".