434241213444 has 72 divisors (see below), whose sum is σ = 1127678960408. Its totient is φ = 140791633920.

The previous prime is 434241213377. The next prime is 434241213491. The reversal of 434241213444 is 444312142434.

434241213444 is a `hidden beast` number, since 43 + 424 + 121 + 34 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93929990400 + 340311223044 = 306480^2 + 583362^2 .

It is a super-2 number, since 2×434241213444² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 434241213399 and 434241213408.

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, 4428354 + ... + 4525350.

Almost surely, 2^434241213444 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 434241213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563839480204).

434241213444 is an abundant number, since it is smaller than the sum of its proper divisors (693437746964).

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

434241213444 is a wasteful number, since it uses less digits than its factorization.

434241213444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100405 (or 100400 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 434241213444 its reverse (444312142434), we get a palindrome (878553355878).

The spelling of 434241213444 in words is "four hundred thirty-four billion, two hundred forty-one million, two hundred thirteen thousand, four hundred forty-four".