34231124401441 has 16 divisors (see below), whose sum is σ = 37609298552448. Its totient is φ = 30897748921600.

The previous prime is 34231124401361. The next prime is 34231124401489. The reversal of 34231124401441 is 14410442113243.

It is a de Polignac number, because none of the positive numbers 2^k-34231124401441 is a prime.

It is a super-3 number, since 3×34231124401441³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34231124401397 and 34231124401406.

It is not an unprimeable number, because it can be changed into a prime (34231124401141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8957230 + ... + 12194023.

It is an arithmetic number, because the mean of its divisors is an integer number (2350581159528).

Almost surely, 2^{34231124401441} is an apocalyptic number.

It is an amenable number.

34231124401441 is a deficient number, since it is larger than the sum of its proper divisors (3378174151007).

34231124401441 is a wasteful number, since it uses less digits than its factorization.

34231124401441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21152312.

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

Adding to 34231124401441 its reverse (14410442113243), we get a palindrome (48641566514684).

The spelling of 34231124401441 in words is "thirty-four trillion, two hundred thirty-one billion, one hundred twenty-four million, four hundred one thousand, four hundred forty-one".