434323021444020 has 240 divisors, whose sum is σ = 1381357904794560. Its totient is φ = 114215842450944.

The previous prime is 434323021444007. The next prime is 434323021444049. The reversal of 434323021444020 is 20444120323434.

434323021444020 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 2 + 30 + 214 + 4 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 801413659 + ... + 801955421.

It is an arithmetic number, because the mean of its divisors is an integer number (5755657936644).

Almost surely, 2^{434323021444020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434323021444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690678952397280).

434323021444020 is an abundant number, since it is smaller than the sum of its proper divisors (947034883350540).

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

434323021444020 is a wasteful number, since it uses less digits than its factorization.

434323021444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548636 (or 548625 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 434323021444020 its reverse (20444120323434), we get a palindrome (454767141767454).

The spelling of 434323021444020 in words is "four hundred thirty-four trillion, three hundred twenty-three billion, twenty-one million, four hundred forty-four thousand, twenty".