4334414344440 has 128 divisors (see below), whose sum is σ = 13860885888000. Its totient is φ = 1081149009408.

The previous prime is 4334414344433. The next prime is 4334414344457. The reversal of 4334414344440 is 444434144334.

It is a junction number, because it is equal to n+sod(n) for n = 4334414344392 and 4334414344401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11851899 + ... + 12212138.

It is an arithmetic number, because the mean of its divisors is an integer number (108288171000).

Almost surely, 2^{4334414344440} is an apocalyptic number.

4334414344440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334414344440 is an abundant number, since it is smaller than the sum of its proper divisors (9526471543560).

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

4334414344440 is a wasteful number, since it uses less digits than its factorization.

4334414344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24064149 (or 24064145 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 4334414344440 its reverse (444434144334), we get a palindrome (4778848488774).

The spelling of 4334414344440 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, four hundred forty".