34144440311401 has 8 divisors (see below), whose sum is σ = 39025714515840. Its totient is φ = 29264040361248.

The previous prime is 34144440311381. The next prime is 34144440311441. The reversal of 34144440311401 is 10411304444143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34144440311401 - 2³⁷ = 34007001357929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34144440311441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218479876 + ... + 218636101.

It is an arithmetic number, because the mean of its divisors is an integer number (4878214314480).

Almost surely, 2^{34144440311401} is an apocalyptic number.

It is an amenable number.

34144440311401 is a deficient number, since it is larger than the sum of its proper divisors (4881274204439).

34144440311401 is a wasteful number, since it uses less digits than its factorization.

34144440311401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437127143.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 34144440311401 its reverse (10411304444143), we get a palindrome (44555744755544).

The spelling of 34144440311401 in words is "thirty-four trillion, one hundred forty-four billion, four hundred forty million, three hundred eleven thousand, four hundred one".