401414331 has 32 divisors (see below), whose sum is σ = 575258112. Its totient is φ = 248371200.

The previous prime is 401414327. The next prime is 401414341. The reversal of 401414331 is 133414104.

It is not a de Polignac number, because 401414331 - 2² = 401414327 is a prime.

It is a super-2 number, since 2×401414331² = 322266930264355122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401414298 and 401414307.

It is not an unprimeable number, because it can be changed into a prime (401414341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572281 + ... + 572981.

It is an arithmetic number, because the mean of its divisors is an integer number (17976816).

Almost surely, 2^401414331 is an apocalyptic number.

401414331 is a deficient number, since it is larger than the sum of its proper divisors (173843781).

401414331 is a wasteful number, since it uses less digits than its factorization.

401414331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 401414331 is about 20035.3270749444. The cubic root of 401414331 is about 737.6736848808.

Adding to 401414331 its reverse (133414104), we get a palindrome (534828435).

The spelling of 401414331 in words is "four hundred one million, four hundred fourteen thousand, three hundred thirty-one".