344300120011400 has 96 divisors (see below), whose sum is σ = 914991727376640. Its totient is φ = 118028062172160.

The previous prime is 344300120011387. The next prime is 344300120011403. The reversal of 344300120011400 is 4110021003443.

It is a super-2 number, since 2×344300120011400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344300120011403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9084944 + ... + 27769343.

It is an arithmetic number, because the mean of its divisors is an integer number (9531163826840).

Almost surely, 2^{344300120011400} is an apocalyptic number.

It is an amenable number.

344300120011400 is an abundant number, since it is smaller than the sum of its proper divisors (570691607365240).

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

344300120011400 is a wasteful number, since it uses less digits than its factorization.

344300120011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36860983 (or 36860974 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 344300120011400 its reverse (4110021003443), we get a palindrome (348410141014843).

The spelling of 344300120011400 in words is "three hundred forty-four trillion, three hundred billion, one hundred twenty million, eleven thousand, four hundred".