4414022125344 has 72 divisors (see below), whose sum is σ = 13517942770332. Its totient is φ = 1358160652800.

The previous prime is 4414022125309. The next prime is 4414022125451. The reversal of 4414022125344 is 4435212204144.

4414022125344 is a `hidden beast` number, since 4 + 4 + 1 + 402 + 212 + 5 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3252929673744 + 1161092451600 = 1803588^2 + 1077540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 4414022125299 and 4414022125308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589475707 + ... + 589483194.

Almost surely, 2^{4414022125344} is an apocalyptic number.

It is an amenable number.

4414022125344 is an abundant number, since it is smaller than the sum of its proper divisors (9103920644988).

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

4414022125344 is a wasteful number, since it uses less digits than its factorization.

4414022125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178958930 (or 1178958919 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4414022125344 its reverse (4435212204144), we get a palindrome (8849234329488).

The spelling of 4414022125344 in words is "four trillion, four hundred fourteen billion, twenty-two million, one hundred twenty-five thousand, three hundred forty-four".