401017144 has 64 divisors (see below), whose sum is σ = 860544000. Its totient is φ = 173416320.

The previous prime is 401017139. The next prime is 401017157. The reversal of 401017144 is 441710104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483322 + ... + 484150.

It is an arithmetic number, because the mean of its divisors is an integer number (13446000).

Almost surely, 2^401017144 is an apocalyptic number.

401017144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401017144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430272000).

401017144 is an abundant number, since it is smaller than the sum of its proper divisors (459526856).

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

401017144 is a wasteful number, since it uses less digits than its factorization.

401017144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 401017144 is about 20025.4124551780. The cubic root of 401017144 is about 737.4303028648.

Adding to 401017144 its reverse (441710104), we get a palindrome (842727248).

The spelling of 401017144 in words is "four hundred one million, seventeen thousand, one hundred forty-four".