4434246424344 has 192 divisors, whose sum is σ = 12333799134720. Its totient is φ = 1327364896000.

The previous prime is 4434246424343. The next prime is 4434246424357.

It is a happy number.

4434246424344 is nontrivially palindromic in base 10.

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 = 4434246424293 and 4434246424302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434246424343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129916609 + ... + 129950735.

It is an arithmetic number, because the mean of its divisors is an integer number (64238537160).

Almost surely, 2^{4434246424344} is an apocalyptic number.

4434246424344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434246424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166899567360).

4434246424344 is an abundant number, since it is smaller than the sum of its proper divisors (7899552710376).

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

4434246424344 is a wasteful number, since it uses less digits than its factorization.

4434246424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34702 (or 34687 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 48.

The spelling of 4434246424344 in words is "four trillion, four hundred thirty-four billion, two hundred forty-six million, four hundred twenty-four thousand, three hundred forty-four".