401123331 has 48 divisors (see below), whose sum is σ = 689357760. Its totient is φ = 219905280.

The previous prime is 401123311. The next prime is 401123339. The reversal of 401123331 is 133321104.

401123331 is a `hidden beast` number, since 401 + 1 + 233 + 31 = 666.

It is not a de Polignac number, because 401123331 - 2⁹ = 401122819 is a prime.

It is a super-2 number, since 2×401123331² = 321799853345071122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401123339) 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 47 ways as a sum of consecutive naturals, for example, 330081 + ... + 331293.

It is an arithmetic number, because the mean of its divisors is an integer number (14361620).

Almost surely, 2^401123331 is an apocalyptic number.

401123331 is a deficient number, since it is larger than the sum of its proper divisors (288234429).

401123331 is a wasteful number, since it uses less digits than its factorization.

401123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 401123331 is about 20028.0635858787. The cubic root of 401123331 is about 737.4953862011.

Adding to 401123331 its reverse (133321104), we get a palindrome (534444435).

The spelling of 401123331 in words is "four hundred one million, one hundred twenty-three thousand, three hundred thirty-one".