434123220340 has 48 divisors (see below), whose sum is σ = 971764290000. Its totient is φ = 162337728512.

The previous prime is 434123220337. The next prime is 434123220359. The reversal of 434123220340 is 43022321434.

It can be written as a sum of positive squares in 8 ways, for example, as 30168910864 + 403954309476 = 173692^2 + 635574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434123220299 and 434123220308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4234015 + ... + 4335334.

It is an arithmetic number, because the mean of its divisors is an integer number (20245089375).

Almost surely, 2^434123220340 is an apocalyptic number.

It is an amenable number.

434123220340 is an abundant number, since it is smaller than the sum of its proper divisors (537641069660).

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

434123220340 is a wasteful number, since it uses less digits than its factorization.

434123220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569524 (or 8569522 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 434123220340 its reverse (43022321434), we get a palindrome (477145541774).

The spelling of 434123220340 in words is "four hundred thirty-four billion, one hundred twenty-three million, two hundred twenty thousand, three hundred forty".