344009417121 has 10 divisors (see below), whose sum is σ = 513890610882. Its totient is φ = 229339611360.

The previous prime is 344009417119. The next prime is 344009417123. The reversal of 344009417121 is 121714900443.

344009417121 is a `hidden beast` number, since 3 + 440 + 0 + 94 + 1 + 7 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (344009417119) and next prime (344009417123).

It can be written as a sum of positive squares in only one way, i.e., 334685390400 + 9324026721 = 578520^2 + 96561^2 .

It is not a de Polignac number, because 344009417121 - 2¹ = 344009417119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344009417123) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2123514840 + ... + 2123515001.

Almost surely, 2^344009417121 is an apocalyptic number.

It is an amenable number.

344009417121 is a deficient number, since it is larger than the sum of its proper divisors (169881193761).

344009417121 is an equidigital number, since it uses as much as digits as its factorization.

344009417121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247029853 (or 4247029844 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 344009417121 in words is "three hundred forty-four billion, nine million, four hundred seventeen thousand, one hundred twenty-one".