434155442120000 has 70 divisors (see below), whose sum is σ = 1076564396038098. Its totient is φ = 173662176832000.

The previous prime is 434155442119981. The next prime is 434155442120009. The reversal of 434155442120000 is 21244551434.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 264865990287616 + 169289451832384 = 16274704^2 + 13011128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434155442120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5426903027 + ... + 5426983026.

Almost surely, 2^{434155442120000} is an apocalyptic number.

434155442120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434155442120000 is an abundant number, since it is smaller than the sum of its proper divisors (642408953918098).

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

434155442120000 is an equidigital number, since it uses as much as digits as its factorization.

434155442120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853886085 (or 10853886060 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 434155442120000 its reverse (21244551434), we get a palindrome (434176686671434).

The spelling of 434155442120000 in words is "four hundred thirty-four trillion, one hundred fifty-five billion, four hundred forty-two million, one hundred twenty thousand".