404340340401041 has 128 divisors (see below), whose sum is σ = 460628131898880. Its totient is φ = 351846457344000.

The previous prime is 404340340401029. The next prime is 404340340401071. The reversal of 404340340401041 is 140104043043404.

It is a cyclic number.

It is not a de Polignac number, because 404340340401041 - 2²⁶ = 404340273292177 is a prime.

It is a super-2 number, since 2×404340340401041² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404340340400989 and 404340340401007.

It is not an unprimeable number, because it can be changed into a prime (404340340401071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 681855548441 + ... + 681855549033.

It is an arithmetic number, because the mean of its divisors is an integer number (3598657280460).

Almost surely, 2^{404340340401041} is an apocalyptic number.

It is an amenable number.

404340340401041 is a deficient number, since it is larger than the sum of its proper divisors (56287791497839).

404340340401041 is a wasteful number, since it uses less digits than its factorization.

404340340401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 404340340401041 its reverse (140104043043404), we get a palindrome (544444383444445).

It can be divided in two parts, 4043403 and 40401041, that added together give a palindrome (44444444).

The spelling of 404340340401041 in words is "four hundred four trillion, three hundred forty billion, three hundred forty million, four hundred one thousand, forty-one".