444014304122340 has 360 divisors, whose sum is σ = 1571861910560760. Its totient is φ = 101447766669312.

The previous prime is 444014304122321. The next prime is 444014304122341. The reversal of 444014304122340 is 43221403410444.

444014304122340 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 1 + 4 + 3 + 0 + 412 + 234 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201545327844 + 443812758794496 = 448938^2 + 21066864^2 .

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 = 444014304122295 and 444014304122304.

It is not an unprimeable number, because it can be changed into a prime (444014304122341) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1070302476 + ... + 1070717244.

It is an arithmetic number, because the mean of its divisors is an integer number (4366283084891).

Almost surely, 2^{444014304122340} 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 444014304122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785930955280380).

444014304122340 is an abundant number, since it is smaller than the sum of its proper divisors (1127847606438420).

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

444014304122340 is a wasteful number, since it uses less digits than its factorization.

444014304122340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417289 (or 417263 counting only the distinct ones).

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

Adding to 444014304122340 its reverse (43221403410444), we get a palindrome (487235707532784).

The spelling of 444014304122340 in words is "four hundred forty-four trillion, fourteen billion, three hundred four million, one hundred twenty-two thousand, three hundred forty".