4131165401 has 24 divisors (see below), whose sum is σ = 4793898816. Its totient is φ = 3523931840.

The previous prime is 4131165397. The next prime is 4131165419. The reversal of 4131165401 is 1045611314.

It is not a de Polignac number, because 4131165401 - 2² = 4131165397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4131165481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707771 + ... + 713583.

It is an arithmetic number, because the mean of its divisors is an integer number (199745784).

Almost surely, 2^4131165401 is an apocalyptic number.

It is an amenable number.

4131165401 is a deficient number, since it is larger than the sum of its proper divisors (662733415).

4131165401 is a wasteful number, since it uses less digits than its factorization.

4131165401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 4131165401 is about 64274.1425535962. The cubic root of 4131165401 is about 1604.5657868559.

Adding to 4131165401 its reverse (1045611314), we get a palindrome (5176776715).

The spelling of 4131165401 in words is "four billion, one hundred thirty-one million, one hundred sixty-five thousand, four hundred one".