3401131311441 has 6 divisors (see below), whose sum is σ = 4912745227650. Its totient is φ = 2267420874288.

The previous prime is 3401131311439. The next prime is 3401131311467. The reversal of 3401131311441 is 1441131311043.

3401131311441 is a `hidden beast` number, since 340 + 1 + 1 + 3 + 1 + 311 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3358437420816 + 42693890625 = 1832604^2 + 206625^2 .

It is not a de Polignac number, because 3401131311441 - 2¹ = 3401131311439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3401131311341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188951739516 + ... + 188951739533.

It is an arithmetic number, because the mean of its divisors is an integer number (818790871275).

Almost surely, 2^{3401131311441} is an apocalyptic number.

It is an amenable number.

3401131311441 is a deficient number, since it is larger than the sum of its proper divisors (1511613916209).

3401131311441 is a wasteful number, since it uses less digits than its factorization.

3401131311441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377903479055 (or 377903479052 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 3401131311441 its reverse (1441131311043), we get a palindrome (4842262622484).

The spelling of 3401131311441 in words is "three trillion, four hundred one billion, one hundred thirty-one million, three hundred eleven thousand, four hundred forty-one".