344121430240401 has 64 divisors (see below), whose sum is σ = 529338757570560. Its totient is φ = 196661637504000.

The previous prime is 344121430240349. The next prime is 344121430240417. The reversal of 344121430240401 is 104042034121443.

It is a happy number.

It is not a de Polignac number, because 344121430240401 - 2²¹ = 344121428143249 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 (344121430240501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 819280921 + ... + 819700841.

It is an arithmetic number, because the mean of its divisors is an integer number (8270918087040).

Almost surely, 2^{344121430240401} is an apocalyptic number.

It is an amenable number.

344121430240401 is a deficient number, since it is larger than the sum of its proper divisors (185217327330159).

344121430240401 is a wasteful number, since it uses less digits than its factorization.

344121430240401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426038.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 344121430240401 its reverse (104042034121443), we get a palindrome (448163464361844).

The spelling of 344121430240401 in words is "three hundred forty-four trillion, one hundred twenty-one billion, four hundred thirty million, two hundred forty thousand, four hundred one".