401414321 has 12 divisors (see below), whose sum is σ = 509402160. Its totient is φ = 312789960.

The previous prime is 401414281. The next prime is 401414327. The reversal of 401414321 is 123414104.

It is not a de Polignac number, because 401414321 - 2²² = 397220017 is a prime.

It is a super-4 number, since 4×401414321⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 401414293 and 401414302.

It is not an unprimeable number, because it can be changed into a prime (401414327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371831 + ... + 372908.

It is an arithmetic number, because the mean of its divisors is an integer number (42450180).

Almost surely, 2^401414321 is an apocalyptic number.

It is an amenable number.

401414321 is a deficient number, since it is larger than the sum of its proper divisors (107987839).

401414321 is a wasteful number, since it uses less digits than its factorization.

401414321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744764 (or 744757 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 401414321 is about 20035.3268253852. The cubic root of 401414321 is about 737.6736787551.

Adding to 401414321 its reverse (123414104), we get a palindrome (524828425).

The spelling of 401414321 in words is "four hundred one million, four hundred fourteen thousand, three hundred twenty-one".