344341123441440 has 48 divisors (see below), whose sum is σ = 1084674538842048. Its totient is φ = 91824299584256.

The previous prime is 344341123441433. The next prime is 344341123441459. The reversal of 344341123441440 is 44144321143443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 344341123441392 and 344341123441401.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 358688669772 + ... + 358688670731.

It is an arithmetic number, because the mean of its divisors is an integer number (22597386225876).

Almost surely, 2^{344341123441440} is an apocalyptic number.

344341123441440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344341123441440 is an abundant number, since it is smaller than the sum of its proper divisors (740333415400608).

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

344341123441440 is a wasteful number, since it uses less digits than its factorization.

344341123441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717377340521 (or 717377340513 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

Adding to 344341123441440 its reverse (44144321143443), we get a palindrome (388485444584883).

The spelling of 344341123441440 in words is "three hundred forty-four trillion, three hundred forty-one billion, one hundred twenty-three million, four hundred forty-one thousand, four hundred forty".