434433322240 has 36 divisors (see below), whose sum is σ = 1040603570244. Its totient is φ = 173773328384.

The previous prime is 434433322189. The next prime is 434433322283. The reversal of 434433322240 is 42223334434.

It can be written as a sum of positive squares in 2 ways, for example, as 225708607744 + 208724714496 = 475088^2 + 456864^2 .

It is a super-2 number, since 2×434433322240² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434433322196 and 434433322205.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 169699237 + ... + 169701796.

It is an arithmetic number, because the mean of its divisors is an integer number (28905654729).

Almost surely, 2^434433322240 is an apocalyptic number.

434433322240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434433322240 is an abundant number, since it is smaller than the sum of its proper divisors (606170248004).

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

434433322240 is an equidigital number, since it uses as much as digits as its factorization.

434433322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339401054 (or 339401040 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 434433322240 its reverse (42223334434), we get a palindrome (476656656674).

The spelling of 434433322240 in words is "four hundred thirty-four billion, four hundred thirty-three million, three hundred twenty-two thousand, two hundred forty".