401414121 has 12 divisors (see below), whose sum is σ = 610337520. Its totient is φ = 253524600.

The previous prime is 401414113. The next prime is 401414129. The reversal of 401414121 is 121414104.

It is an interprime number because it is at equal distance from previous prime (401414113) and next prime (401414129).

It is not a de Polignac number, because 401414121 - 2³ = 401414113 is a prime.

It is a super-2 number, since 2×401414121² = 322266593076405282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401414094 and 401414103.

It is not an unprimeable number, because it can be changed into a prime (401414129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1173555 + ... + 1173896.

It is an arithmetic number, because the mean of its divisors is an integer number (50861460).

Almost surely, 2^401414121 is an apocalyptic number.

It is an amenable number.

401414121 is a deficient number, since it is larger than the sum of its proper divisors (208923399).

401414121 is a wasteful number, since it uses less digits than its factorization.

401414121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347476 (or 2347473 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 401414121 is about 20035.3218342007. The cubic root of 401414121 is about 737.6735562427.

Adding to 401414121 its reverse (121414104), we get a palindrome (522828225).

The spelling of 401414121 in words is "four hundred one million, four hundred fourteen thousand, one hundred twenty-one".