4001261178101 has 8 divisors (see below), whose sum is σ = 4365142204800. Its totient is φ = 3637401819840.

The previous prime is 4001261178073. The next prime is 4001261178119. The reversal of 4001261178101 is 1018711621004.

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

It is a cyclic number.

It is not a de Polignac number, because 4001261178101 - 2³⁸ = 3726383271157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001261178401) 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, 5029796 + ... + 5770733.

It is an arithmetic number, because the mean of its divisors is an integer number (545642775600).

Almost surely, 2^{4001261178101} is an apocalyptic number.

It is an amenable number.

4001261178101 is a deficient number, since it is larger than the sum of its proper divisors (363881026699).

4001261178101 is a wasteful number, since it uses less digits than its factorization.

4001261178101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10834219.

The product of its (nonzero) digits is 2688, while the sum is 32.

Adding to 4001261178101 its reverse (1018711621004), we get a palindrome (5019972799105).

The spelling of 4001261178101 in words is "four trillion, one billion, two hundred sixty-one million, one hundred seventy-eight thousand, one hundred one".