401141104 has 60 divisors (see below), whose sum is σ = 961868496. Its totient is φ = 158685696.

The previous prime is 401141101. The next prime is 401141141.

401141104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401141101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8332 + ... + 29524.

Almost surely, 2^401141104 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 401141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480934248).

401141104 is an abundant number, since it is smaller than the sum of its proper divisors (560727392).

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

401141104 is a wasteful number, since it uses less digits than its factorization.

401141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21234 (or 21215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 401141104 is about 20028.5072833699. The cubic root of 401141104 is about 737.5062783723.

The spelling of 401141104 in words is "four hundred one million, one hundred forty-one thousand, one hundred four".