401331040440111 has 64 divisors (see below), whose sum is σ = 629783622720000. Its totient is φ = 251717680608768.

The previous prime is 401331040440097. The next prime is 401331040440203. The reversal of 401331040440111 is 111044040133104.

401331040440111 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 3 + 104 + 0 + 440 + 111 = 666.

It is not a de Polignac number, because 401331040440111 - 2⁷ = 401331040439983 is a prime.

It is a super-2 number, since 2×401331040440111² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401331040240111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19724324640 + ... + 19724344986.

It is an arithmetic number, because the mean of its divisors is an integer number (9840369105000).

Almost surely, 2^{401331040440111} is an apocalyptic number.

401331040440111 is a deficient number, since it is larger than the sum of its proper divisors (228452582279889).

401331040440111 is a wasteful number, since it uses less digits than its factorization.

401331040440111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34965 (or 34959 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 401331040440111 its reverse (111044040133104), we get a palindrome (512375080573215).

The spelling of 401331040440111 in words is "four hundred one trillion, three hundred thirty-one billion, forty million, four hundred forty thousand, one hundred eleven".