4434242401440 has 288 divisors, whose sum is σ = 16046332061760. Its totient is φ = 1111215071232.

The previous prime is 4434242401439. The next prime is 4434242401471. The reversal of 4434242401440 is 441042424344.

It is a happy number.

4434242401440 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 242 + 401 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4434242401440² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4434242401395 and 4434242401404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15994887 + ... + 16269753.

It is an arithmetic number, because the mean of its divisors is an integer number (55716430770).

Almost surely, 2^{4434242401440} is an apocalyptic number.

4434242401440 is a gapful number since it is divisible by the number (40) 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 4434242401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023166030880).

4434242401440 is an abundant number, since it is smaller than the sum of its proper divisors (11612089660320).

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

4434242401440 is a wasteful number, since it uses less digits than its factorization.

4434242401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275564 (or 275553 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4434242401440 its reverse (441042424344), we get a palindrome (4875284825784).

The spelling of 4434242401440 in words is "four trillion, four hundred thirty-four billion, two hundred forty-two million, four hundred one thousand, four hundred forty".