414030411331 has 8 divisors (see below), whose sum is σ = 423967650480. Its totient is φ = 404107200672.

The previous prime is 414030411323. The next prime is 414030411391. The reversal of 414030411331 is 133114030414.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414030411331 - 2³ = 414030411323 is a prime.

It is a super-4 number, since 4×414030411331⁴ (a number of 48 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 junction number, because it is equal to n+sod(n) for n = 414030411296 and 414030411305.

It is not an unprimeable number, because it can be changed into a prime (414030411391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3447376 + ... + 3565453.

It is an arithmetic number, because the mean of its divisors is an integer number (52995956310).

Almost surely, 2^414030411331 is an apocalyptic number.

414030411331 is a deficient number, since it is larger than the sum of its proper divisors (9937239149).

414030411331 is a wasteful number, since it uses less digits than its factorization.

414030411331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014245.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 414030411331 its reverse (133114030414), we get a palindrome (547144441745).

The spelling of 414030411331 in words is "four hundred fourteen billion, thirty million, four hundred eleven thousand, three hundred thirty-one".