414130240401 has 8 divisors (see below), whose sum is σ = 552195323040. Its totient is φ = 276075992352.

The previous prime is 414130240373. The next prime is 414130240423. The reversal of 414130240401 is 104042031414.

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

It is not a de Polignac number, because 414130240401 - 2¹⁴ = 414130224017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414130240471) 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 7 ways as a sum of consecutive naturals, for example, 2619036 + ... + 2772653.

It is an arithmetic number, because the mean of its divisors is an integer number (69024415380).

Almost surely, 2^414130240401 is an apocalyptic number.

It is an amenable number.

414130240401 is a deficient number, since it is larger than the sum of its proper divisors (138065082639).

414130240401 is a wasteful number, since it uses less digits than its factorization.

414130240401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417295.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414130240401 its reverse (104042031414), we get a palindrome (518172271815).

The spelling of 414130240401 in words is "four hundred fourteen billion, one hundred thirty million, two hundred forty thousand, four hundred one".