4444334102340 has 288 divisors, whose sum is σ = 15211700404992. Its totient is φ = 1040928768000.

The previous prime is 4444334102281. The next prime is 4444334102347. The reversal of 4444334102340 is 432014334444.

4444334102340 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 3 + 3 + 410 + 234 + 0 = 666.

It is a super-2 number, since 2×4444334102340² (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 = 4444334102295 and 4444334102304.

It is not an unprimeable number, because it can be changed into a prime (4444334102347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8095780 + ... + 8627300.

It is an arithmetic number, because the mean of its divisors is an integer number (52818404184).

Almost surely, 2^{4444334102340} 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 4444334102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605850202496).

4444334102340 is an abundant number, since it is smaller than the sum of its proper divisors (10767366302652).

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

4444334102340 is a wasteful number, since it uses less digits than its factorization.

4444334102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531691 (or 531686 counting only the distinct ones).

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

Adding to 4444334102340 its reverse (432014334444), we get a palindrome (4876348436784).

The spelling of 4444334102340 in words is "four trillion, four hundred forty-four billion, three hundred thirty-four million, one hundred two thousand, three hundred forty".