344041340032401 has 32 divisors (see below), whose sum is σ = 507757005129600. Its totient is φ = 205459771507200.

The previous prime is 344041340032373. The next prime is 344041340032409. The reversal of 344041340032401 is 104230043140443.

It is not a de Polignac number, because 344041340032401 - 2³⁹ = 343491584218513 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (344041340032409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64746126 + ... + 69858023.

It is an arithmetic number, because the mean of its divisors is an integer number (15867406410300).

Almost surely, 2^{344041340032401} is an apocalyptic number.

It is an amenable number.

344041340032401 is a deficient number, since it is larger than the sum of its proper divisors (163715665097199).

344041340032401 is a wasteful number, since it uses less digits than its factorization.

344041340032401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134605297.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 344041340032401 its reverse (104230043140443), we get a palindrome (448271383172844).

The spelling of 344041340032401 in words is "three hundred forty-four trillion, forty-one billion, three hundred forty million, thirty-two thousand, four hundred one".