401134144 has 28 divisors (see below), whose sum is σ = 799203888. Its totient is φ = 199760000.

The previous prime is 401134093. The next prime is 401134147. The reversal of 401134144 is 441431104.

It is a super-2 number, since 2×401134144² = 321817202965225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401134147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3579 + ... + 28549.

It is an arithmetic number, because the mean of its divisors is an integer number (28542996).

Almost surely, 2^401134144 is an apocalyptic number.

It is an amenable number.

401134144 is a deficient number, since it is larger than the sum of its proper divisors (398069744).

401134144 is a wasteful number, since it uses less digits than its factorization.

401134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25234 (or 25224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 401134144 is about 20028.3335302766. Note that the first 3 decimals coincide. The cubic root of 401134144 is about 737.5020129793.

Adding to 401134144 its reverse (441431104), we get a palindrome (842565248).

The spelling of 401134144 in words is "four hundred one million, one hundred thirty-four thousand, one hundred forty-four".