401110440433340 has 192 divisors, whose sum is σ = 947585135323008. Its totient is φ = 141396166656000.

The previous prime is 401110440433331. The next prime is 401110440433343. The reversal of 401110440433340 is 43334044011104.

It is a junction number, because it is equal to n+sod(n) for n = 401110440433297 and 401110440433306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401110440433343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221319722 + ... + 223124718.

It is an arithmetic number, because the mean of its divisors is an integer number (4935339246474).

Almost surely, 2^{401110440433340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401110440433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473792567661504).

401110440433340 is an abundant number, since it is smaller than the sum of its proper divisors (546474694889668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401110440433340 is a wasteful number, since it uses less digits than its factorization.

401110440433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805328 (or 1805326 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 401110440433340 its reverse (43334044011104), we get a palindrome (444444484444444).

It can be divided in two parts, 4011104 and 40433340, that added together give a palindrome (44444444).

The spelling of 401110440433340 in words is "four hundred one trillion, one hundred ten billion, four hundred forty million, four hundred thirty-three thousand, three hundred forty".