434706802120 has 64 divisors (see below), whose sum is σ = 1035718585200. Its totient is φ = 163639541760.

The previous prime is 434706802097. The next prime is 434706802151. The reversal of 434706802120 is 21208607434.

It can be written as a sum of positive squares in 8 ways, for example, as 214541270596 + 220165531524 = 463186^2 + 469218^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 434706802120.

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 15 ways as a sum of consecutive naturals, for example, 10130310 + ... + 10173130.

Almost surely, 2^434706802120 is an apocalyptic number.

434706802120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434706802120 is an abundant number, since it is smaller than the sum of its proper divisors (601011783080).

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

434706802120 is a wasteful number, since it uses less digits than its factorization.

434706802120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57778 (or 57774 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 434706802120 in words is "four hundred thirty-four billion, seven hundred six million, eight hundred two thousand, one hundred twenty".