344242134014000 has 40 divisors (see below), whose sum is σ = 832377480050688. Its totient is φ = 137696853604800.

The previous prime is 344242134013991. The next prime is 344242134014017. The reversal of 344242134014000 is 410431242443.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86060531504 + ... + 86060535503.

Almost surely, 2^{344242134014000} is an apocalyptic number.

It is an amenable number.

344242134014000 is an abundant number, since it is smaller than the sum of its proper divisors (488135346036688).

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

344242134014000 is a wasteful number, since it uses less digits than its factorization.

344242134014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172121067030 (or 172121067014 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 344242134014000 its reverse (410431242443), we get a palindrome (344652565256443).

The spelling of 344242134014000 in words is "three hundred forty-four trillion, two hundred forty-two billion, one hundred thirty-four million, fourteen thousand".