401135505531104 has 96 divisors (see below), whose sum is σ = 846793659801600. Its totient is φ = 186376107939840.

The previous prime is 401135505531083. The next prime is 401135505531109.

401135505531104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401135505531104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401135505531109) 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, 3027120209 + ... + 3027252719.

It is an arithmetic number, because the mean of its divisors is an integer number (8820767289600).

Almost surely, 2^{401135505531104} 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 401135505531104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423396829900800).

401135505531104 is an abundant number, since it is smaller than the sum of its proper divisors (445658154270496).

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

401135505531104 is a wasteful number, since it uses less digits than its factorization.

401135505531104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203056 (or 203048 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

It can be divided in two parts, 40113550 and 5531104, that added together give a palindrome (45644654).

The spelling of 401135505531104 in words is "four hundred one trillion, one hundred thirty-five billion, five hundred five million, five hundred thirty-one thousand, one hundred four".