344404121014041 has 16 divisors (see below), whose sum is σ = 501841238204160. Its totient is φ = 208359024704720.

The previous prime is 344404121013989. The next prime is 344404121014081. The reversal of 344404121014041 is 140410121404443.

It is a cyclic number.

It is not a de Polignac number, because 344404121014041 - 2⁷ = 344404121013913 is a prime.

It is a super-2 number, since 2×344404121014041² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 344404121013993 and 344404121014011.

It is not an unprimeable number, because it can be changed into a prime (344404121014081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9268621311 + ... + 9268658468.

It is an arithmetic number, because the mean of its divisors is an integer number (31365077387760).

Almost surely, 2^{344404121014041} is an apocalyptic number.

It is an amenable number.

344404121014041 is a deficient number, since it is larger than the sum of its proper divisors (157437117190119).

344404121014041 is a wasteful number, since it uses less digits than its factorization.

344404121014041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18537280356.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 344404121014041 its reverse (140410121404443), we get a palindrome (484814242418484).

The spelling of 344404121014041 in words is "three hundred forty-four trillion, four hundred four billion, one hundred twenty-one million, fourteen thousand, forty-one".