401324144 has 40 divisors (see below), whose sum is σ = 839550432. Its totient is φ = 184746240.

The previous prime is 401324141. The next prime is 401324177. The reversal of 401324144 is 441423104.

It is a happy number.

It is a super-2 number, since 2×401324144² = 322122137114665472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401324141) 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 7 ways as a sum of consecutive naturals, for example, 85277 + ... + 89859.

Almost surely, 2^401324144 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 401324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419775216).

401324144 is an abundant number, since it is smaller than the sum of its proper divisors (438226288).

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

401324144 is a wasteful number, since it uses less digits than its factorization.

401324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 401324144 is about 20033.0762490437. The cubic root of 401324144 is about 737.6184355997.

Adding to 401324144 its reverse (441423104), we get a palindrome (842747248).

The spelling of 401324144 in words is "four hundred one million, three hundred twenty-four thousand, one hundred forty-four".