434442442120 has 128 divisors (see below), whose sum is σ = 992786129280. Its totient is φ = 171085824000.

The previous prime is 434442442033. The next prime is 434442442121. The reversal of 434442442120 is 21244244434.

It is not an unprimeable number, because it can be changed into a prime (434442442121) 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 31 ways as a sum of consecutive naturals, for example, 677757000 + ... + 677757640.

It is an arithmetic number, because the mean of its divisors is an integer number (7756141635).

Almost surely, 2^434442442120 is an apocalyptic number.

434442442120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434442442120 is an abundant number, since it is smaller than the sum of its proper divisors (558343687160).

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

434442442120 is a wasteful number, since it uses less digits than its factorization.

434442442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 434442442120 its reverse (21244244434), we get a palindrome (455686686554).

The spelling of 434442442120 in words is "four hundred thirty-four billion, four hundred forty-two million, four hundred forty-two thousand, one hundred twenty".