40101404401 has 16 divisors (see below), whose sum is σ = 40553036496. Its totient is φ = 39653277696.

The previous prime is 40101404381. The next prime is 40101404407. The reversal of 40101404401 is 10440410104.

It can be written as a sum of positive squares in 8 ways, for example, as 558093376 + 39543311025 = 23624^2 + 198855^2 .

It is a cyclic number.

It is not a de Polignac number, because 40101404401 - 2¹¹ = 40101402353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40101404407) 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, 22566025 + ... + 22567801.

It is an arithmetic number, because the mean of its divisors is an integer number (2534564781).

Almost surely, 2^40101404401 is an apocalyptic number.

It is an amenable number.

40101404401 is a deficient number, since it is larger than the sum of its proper divisors (451632095).

40101404401 is a wasteful number, since it uses less digits than its factorization.

40101404401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 40101404401 its reverse (10440410104), we get a palindrome (50541814505).

The spelling of 40101404401 in words is "forty billion, one hundred one million, four hundred four thousand, four hundred one".