404241111200031 has 24 divisors (see below), whose sum is σ = 626987083886640. Its totient is φ = 230994599939712.

The previous prime is 404241111200029. The next prime is 404241111200033. The reversal of 404241111200031 is 130002111142404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404241111200029) and next prime (404241111200033).

It is not a de Polignac number, because 404241111200031 - 2¹ = 404241111200029 is a prime.

It is a super-2 number, since 2×404241111200031² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404241111199974 and 404241111200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404241111200033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140147605 + ... + 143002913.

It is an arithmetic number, because the mean of its divisors is an integer number (26124461828610).

Almost surely, 2^{404241111200031} is an apocalyptic number.

404241111200031 is a deficient number, since it is larger than the sum of its proper divisors (222745972686609).

404241111200031 is a wasteful number, since it uses less digits than its factorization.

404241111200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818423 (or 3818416 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 404241111200031 its reverse (130002111142404), we get a palindrome (534243222342435).

The spelling of 404241111200031 in words is "four hundred four trillion, two hundred forty-one billion, one hundred eleven million, two hundred thousand, thirty-one".