321224001010434 has 48 divisors (see below), whose sum is σ = 736930131008760. Its totient is φ = 100775544307200.

The previous prime is 321224001010427. The next prime is 321224001010457. The reversal of 321224001010434 is 434010100422123.

321224001010434 is a `hidden beast` number, since 3 + 2 + 1 + 224 + 0 + 0 + 1 + 0 + 1 + 0 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 321187223359809 + 36777650625 = 17921697^2 + 191775^2 .

It is a junction number, because it is equal to n+sod(n) for n = 321224001010398 and 321224001010407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48576112 + ... + 54791300.

Almost surely, 2^{321224001010434} is an apocalyptic number.

321224001010434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

321224001010434 is an abundant number, since it is smaller than the sum of its proper divisors (415706129998326).

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

321224001010434 is a wasteful number, since it uses less digits than its factorization.

321224001010434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384115 (or 6384112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 321224001010434 its reverse (434010100422123), we get a palindrome (755234101432557).

The spelling of 321224001010434 in words is "three hundred twenty-one trillion, two hundred twenty-four billion, one million, ten thousand, four hundred thirty-four".